Mathematics
Grade9
Easy

Question

Two rectangular banners from this year’s music festival are shown. Organizers of next year’s festival want to design a new banner that will be similar to the banner whose dimensions are given in the photograph. The length of the longest side of the new banner will be 5 feet. Find the area of the new banner.

  1. 8.33
  2. 9.33
  3. 10.66
  4. 7.55

hintHint:

Area = square of corresponding side length

The correct answer is: 8.33


    Area of the old banner = 3 × 1 = 3 square feet
    fraction numerator Area space of space space new space banner over denominator Area space of space old space banner end fraction equals Ratio space of space square space of space lengths space of space corresponding space sides
straight A over 3 equals 5 squared over 3 squared
straight A over 3 equals 25 over 9
    A = 8.3 square ft.

    Related Questions to study

    Grade9
    Mathematics

    The areas of two similar triangles are 45 square cm and 80 square cm. The sum of their perimeters is 35 cm. Find the perimeter of each triangle.

    The areas of two similar triangles are 45 square cm and 80 square cm. The sum of their perimeters is 35 cm. Find the perimeter of each triangle.

    MathematicsGrade9
    Grade9
    Mathematics

    The perimeters of two similar triangles is in the ratio 3 : 4. The sum of their areas is 75 square cm. Find the area of each triangle.

    The perimeters of two similar triangles is in the ratio 3 : 4. The sum of their areas is 75 square cm. Find the area of each triangle.

    MathematicsGrade9
    Grade9
    Mathematics

    Two triangles are similar. The ratio of the areas is 25 over 64. find the length of the base of the smaller triangle if the length of the base of the larger triangle is 24 units.

    Two triangles are similar. The ratio of the areas is 25 over 64. find the length of the base of the smaller triangle if the length of the base of the larger triangle is 24 units.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Two triangles are similar. The ratio of the areas is 25 over 64. What is the scale factor?

    Two triangles are similar. The ratio of the areas is 25 over 64. What is the scale factor?

    MathematicsGrade9
    Grade9
    Mathematics

    Two trapezoids are similar. If the scale factor is 3 over 4 and the area of the smaller trapezoid is 81 square cm, what is the area of the larger trapezoid?

    Two trapezoids are similar. If the scale factor is 3 over 4 and the area of the smaller trapezoid is 81 square cm, what is the area of the larger trapezoid?

    MathematicsGrade9
    Grade9
    Mathematics

    Find the ratio of the areas of the rhombus below. The rhombus are similar

    Find the ratio of the areas of the rhombus below. The rhombus are similar

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Two rectangles are similar with a scale factor of 4/7. If the area of the larger rectangle is 294 square inches, find the area of the smaller rectangle.

    Two rectangles are similar with a scale factor of 4/7. If the area of the larger rectangle is 294 square inches, find the area of the smaller rectangle.

    MathematicsGrade9
    Grade9
    Mathematics

    What is the ratio of the areas of the large triangle to one of the small triangles?

    What is the ratio of the areas of the large triangle to one of the small triangles?

    MathematicsGrade9
    Grade9
    Mathematics

    A triangle with an area of 10 square meters has a base of 4 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?

    A triangle with an area of 10 square meters has a base of 4 meters. A similar triangle has an area of 90 square meters. What is the height of the larger triangle?

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?

    You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?

    MathematicsGrade9
    Grade9
    Mathematics

    A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?

    A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?

    MathematicsGrade9
    Grade9
    Mathematics

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    Perimeters: The scale factor and the perimeters' ratios are identical. The scale factor is the same for any ratio between two similar shapes (diagonals, medians, midsegments, altitudes, etc.).
    Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b

    The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.

    MathematicsGrade9

    Perimeters: The scale factor and the perimeters' ratios are identical. The scale factor is the same for any ratio between two similar shapes (diagonals, medians, midsegments, altitudes, etc.).
    Area: The area is the region defined by an object's shape. The area of an object shape is the space covered by a figure or any two-dimensional geometric shape in a plane. All shapes' areas are determined by their dimensions and properties. Different shapes have various areas.Area of Rectangle = a × b

    Grade9
    Mathematics

    The figures below are similar. If the ratio of the perimeters is 8:5, find the value of x.

    since perimeter is an additive quantity, the ratio of perimeter becomes equal to the ratio of the sides.

    The figures below are similar. If the ratio of the perimeters is 8:5, find the value of x.

    MathematicsGrade9

    since perimeter is an additive quantity, the ratio of perimeter becomes equal to the ratio of the sides.

    Grade9
    Mathematics

    The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?

    length of larger table / length of smaller table = 10/7
    length of smaller table = length of larger table x 7/10
    a foosball table is a rectangular surface on which players play soccer through puppet player.

    The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?

    MathematicsGrade9

    length of larger table / length of smaller table = 10/7
    length of smaller table = length of larger table x 7/10
    a foosball table is a rectangular surface on which players play soccer through puppet player.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.