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The rectangle below has an area of x^2-x-72x 2 ?x?72 square meters and a length of x+8x+8 meters. What expression represents the width of the rectangle?

2 Answers

4 votes

Answer:

Area of the rectangle is given by:

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) = square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

or

Divide both sides by x+8 we have;

meters.

Therefore, the expression represents the width of the rectangle is x-9 meters

Explanation:

User Admix
by
9.4k points
1 vote

Answer:

Area of the rectangle is given by:


A = l * w

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) =
x^2-x-72 square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;


x^2-x-72 = (x+8) * w


x^2-9x+8x-72 = (x+8) * w


x(x-9)+8(x-9)= (x+8) * w

or


(x+8)(x-9)= (x+8) * w

Divide both sides by x+8 we have;


w = (x-9) meters.

Therefore, the expression represents the width of the rectangle is x-9 meters


User Lalibi
by
9.1k points

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