Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade9

Easy

Question

Find the area of the following trapezoid:

$\frac{125 + 125 \sqrt{3} m^{2}}{2}$
$\frac{125 + 25 \sqrt{2} m^{2}}{3}$
$\frac{125 + 25 \sqrt{3} m^{2}}{2}$
$\frac{25 + 125 \sqrt{3} m^{2}}{2}$

The correct answer is: $fraction numerator 125 plus 25 square root of 3 m squared over denominator 2 end fraction$

Area of a trapezoid = ½ x sum of parallel sides x distance between them.
In this question, the distance between them is not given.
Area of the trapezoid = 1/2x(10 + 15 + 5√3 ) x 5 = (25 + 5√3) x 5/2
= (125 + 25√3)/2 sq m

Related Questions to study

Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

MathematicsGrade9

What is the area of the following kite?

What is the area of the following kite?

MathematicsGrade9

Area of the rhombus shown below is 48 square inches. What is the value of x?

Area of the rhombus shown below is 48 square inches. What is the value of x?

MathematicsGrade9

parallel

Area of a rhombus is 120 square units. If the lengths of the diagonals are 10 units and (7x + 3) units, then find the value of x.

Area of a rhombus is 120 square units. If the lengths of the diagonals are 10 units and (7x + 3) units, then find the value of x.

MathematicsGrade9

Find the altitude of the rhombus whose area is 315 cm² and its perimeter is 180 cm.

Find the altitude of the rhombus whose area is 315 cm² and its perimeter is 180 cm.

MathematicsGrade9

If the diagonals of a kite are 1/6x units and (2x+5) units. Express the area in simplified form.

If the diagonals of a kite are 1/6x units and (2x+5) units. Express the area in simplified form.

MathematicsGrade9

parallel

Find the area of the following trapezoid:

Find the area of the following trapezoid:

MathematicsGrade9

Find the area of the following trapezoid:

Find the area of the following trapezoid:

MathematicsGrade9

Determine the area of the following trapezoid:

Determine the area of the following trapezoid:

MathematicsGrade9

parallel

The floor of building consists of 2000 tiles which are rhombus shaped and each of its diagonals are 40 cm and 25 cm in length. Find the total cost of polishing the floor, if the cost per m² is $5.

The floor of building consists of 2000 tiles which are rhombus shaped and each of its diagonals are 40 cm and 25 cm in length. Find the total cost of polishing the floor, if the cost per m² is $5.

MathematicsGrade9

The diagonals of a kite are (2x + 1) units and $1 over x$ units. Express the kite's area in simplified form.

The diagonals of a kite are (2x + 1) units and $1 over x$ units. Express the kite's area in simplified form.

MathematicsGrade9

Find the area of a kite if the diagonal dimensions are x + 3 and x − 6.

Find the area of a kite if the diagonal dimensions are x + 3 and x − 6.

MathematicsGrade9

parallel

Find the area of the following trapezoid:

Find the area of the following trapezoid:

MathematicsGrade9

Find the area of the following trapezoid (Unit is square m.):

Find the area of the following trapezoid (Unit is square m.):

MathematicsGrade9

Find the area of a kite if one diagonal is 2 cm long, and the other diagonal is 10 cm long.

Find the area of a kite if one diagonal is 2 cm long, and the other diagonal is 10 cm long.

MathematicsGrade9

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.