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Chapter 11: Q16. (page 426)

The area of a rectangle is(y2+7y)and height(y). What is the perimeter and base of the rectangle?

Short Answer

Expert verified

The perimeter of the rectangle is(4y+14) and base is(y+7) .

Step by step solution

01

Step 1. Given information.

Area of the rectangleA=(y2+7y)

Height of the rectangleh=(y) .

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 base & perimeter of the rectangle.        

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

of the rectangle :

A=(b)脳(h)y2+7y=(b)脳yb=y2+7yyb=y+7

Perimeter of the rectangle:

P=2(y+7+y)=2(2y+7)=(4y+14)

Therefore, the perimeter of the rectangle is(4y+14) and base is(y+7)

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