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Chapter 11: Q22. (page 426)

Consecutive sides of the figures are perpendicular. Find the area of each figure.

Short Answer

Expert verified

Area of the figure (A)=492sq.units

Step by step solution

01

Step 1. Given information.

Consecutive sides of the figure is perpendicular.

02

Step 2. Concept  Used.

Where, b is the base of the triangles ,i is the height of the triangles and H is the Hypotenuse of the triangles.

鈻�ABCis-(450+450+900)

Thus,Cos450=bH12=bHb=H2

The triangle is an isosceles triangle.

Thus

Side opposite to the equal angles are equal.

Therefore,(l)=(b)=72

03

Step 3. Let’s calculate the area of the figure. 

Now, area of the figure

A=(l脳b)=(72)脳(72)=492sq.units

Therefore, the area of the figure (A)=492sq.units

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Most popular questions from this chapter

The base of a rectangle is 16cmand area is80cm2.What is the height?

Find the area of each figure:

A parallelogram with base32and corresponding height22

The base of a rectangle is 4cmand height1.2cm.What is the area?

The base of a rectangle is12cmand height 5cm.What is the area?

Use a calculator or the trigonometry table on page311to find the area of each figure to the nearest tenth.

An isosceles triangle with a32鈭�,vertex angle and a base of 8cm
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