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Chapter 11: Q37. (page 427)

Draw a rectangle. Then construct a square a square with equal area.

Short Answer

Expert verified

Rectangle and square.

Step by step solution

01

Step 1. Given information.

Rectangle and square.

02

Step 2. Concept  Used.

The area of the rectangle isA=length脳breadth

The area of the square isA=(side)2

03

Step 3. Let’s draw a rectangle then construct a square having equal area.

Let the dimensions of the rectangle be8鈥夆赌�cm脳2鈥夆赌�cm

Then

Area of rectangle

A=lbA=8(2)A=16鈥夆赌�cm2

Now

We have to find the side of square.

Since the area of rectangle is equal to area of square.

We haveAs=s216=s2s=4鈥�cm

i.e

We have to draw the square of side s=4鈥�cm

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Most popular questions from this chapter

Find the area of each figure:

A30鈭�鈭�60鈭�鈭�90鈭� triangle with hypotenuse10cm

Find the area of each figure:

An isosceles triangle with base10and Perimeter 36 .

The base of a rectangle is42and height2.What is the area?

Find the area of each figure:

An isosceles triangle with sides10,10,16

a. Use the diagram at the right. Find the area of鈻�PQRS.

b. Use the diagram at the right. Find the area of鈻�PSR.

c. Use the diagram at the right. Find the area of鈻�OSR. (Hint: Refer to鈻�PSR and use Exercise28).

d. Use the diagram at the right. What is the area of鈻�PSO?

e. Use the diagram at the right. What must the area of鈻�POQbe? Why? What must the area of鈻�OQR be?

f. Use the diagram at the right. State what you have shown in parts (a)-(e) about how the diagonals of a parallelogram divide the parallelogram.
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