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Chapter 11: Q12. (page 426)

The base of a rectangle is(x+5)and height(x). What is the area and perimeter of the rectangle?

Short Answer

Expert verified

The area of the rectangle is(x2+5x) and perimeter is(4x+10) .

Step by step solution

01

Step 1. Given information.

Base of the rectangleb=(x+5)

Height of the rectangleh=(x) .

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 isA=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=(x+5)脳(x)=(x2+5x)cm2

Perimeter of the rectangle:

P=2(x+5+x)=2(2x+5)=(4x+10)cm

Therefore, the area of the rectangle is(x2+5x)cm2 and perimeter is(4x+10)cm

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