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Chapter 11: Q13. (page 426)

The base of a rectangle is(a+3) and height(a鈭�3) . What is the area and perimeter of the rectangle?

Short Answer

Expert verified

The area of the rectangle is (a2鈭�9)cm2 and perimeter is (4a)cm.

Step by step solution

01

Step 1. Given information.

Base of the rectangle b=(a+3)

Height of the rectangle h=(a鈭�3) .

02

Step 2. Concept  Used.

If b is the base of the reactangle and h is the height of the rectangle.

Then, the area of the rectangle is
A=b脳h

Perimeter of the rectangle is

P=2(b+h)

03

Step 3. Let’s calculate the area & perimeter of the rectangle.

Put the value of base and height into the formula and find the area.

Area of the rectangle :

A=(a+3)脳(a鈭�3)=(a2鈭�9)cm2

Formula used-(a2鈭�b2)=(a+b)(a鈭�b)

Perimeter of the rectangle:

P=2(a+3+a鈭�3)=2(2a)=(4a)cm

Therefore, the area of the rectangle is(a2鈭�9)cm2 and perimeter is (4a)cm

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