Question

# Find the area of the figure.

.

Hint:

### The figure consists of 1 rhombus and 1 trapezium

So, Area of figure = area of rhombus EFGH + area of trapezium ABCD .

## The correct answer is: 340 cm2

### Ans :- 340 cm^{2}.

Explanation :-

By observing the diagram EFGH is a quadrilateral where all sides are equal so

EFGH is a rhombus .

ABCD is quadrilateral with AD // BC .

so, ABCD is trapezium with AD and BC as parallel sides.

STEP 1:- Find the area of rhombus EFGH

GE = 14 cm and HF = 10 cm ( diagonals of rhombus EFGH)

Area of rhombus =

Area of rhombus =

We get area of rhombus EFGH is 70cm^{2}.

STEP 2:- Find the area of trapezium ABCD

AD = 24 cm ; BC = 12 cm ;distance between parallel lines AD and BC = 15 cm

= 270 cm^{2}

Area of trapezium ABCD is 270 cm^{2}

Step 3:- Find the area of figure

Area of figure = area of rhombus EFGH + area of trapezium ABCD .

Area of figure = 70+270 = 340 cm^{2}.

Therefore , the area of the entire figure is 340cm^{2}.

### Related Questions to study

The system of equations above is graphed in the xy -plane. At which of the following points do the graphs of the equations intersect?

**Note:**

We can solve the equations by other methods too, but the method of substitution is most suitable here. Also, instead of solving

by middle term factorisation, we could also use the quadratic formula, which is given by

Where the standard form of equation is

The system of equations above is graphed in the xy -plane. At which of the following points do the graphs of the equations intersect?

**Note:**

We can solve the equations by other methods too, but the method of substitution is most suitable here. Also, instead of solving

by middle term factorisation, we could also use the quadratic formula, which is given by

Where the standard form of equation is

### Find the area of an isosceles trapezium ABCD, if the parallel sides are 6cm and 14 cm, its non parallel sides is 5cm each.

### Find the area of an isosceles trapezium ABCD, if the parallel sides are 6cm and 14 cm, its non parallel sides is 5cm each.

### and Solve by using the elimination method.

### and Solve by using the elimination method.

### The sides of a parallelogram are 12cm and 8cm. one of the diagonal is 10cm long. If d is the length of the other diagonal, then which of the following is correct?

### The sides of a parallelogram are 12cm and 8cm. one of the diagonal is 10cm long. If d is the length of the other diagonal, then which of the following is correct?

### Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.

### Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.

During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees

Celsius , on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the

Which of the following systems of inequalities best describes the region where sillimanite can form?

**Note:**

We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.

During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees

Celsius , on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the

Which of the following systems of inequalities best describes the region where sillimanite can form?

**Note:**

We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.