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The rectangle below has an area of zº +82 + 15 square meters and a width of 2 + 3 meters.

What expression represents the length of the rectangle?
Length
2 +3
2° +8x + 15
Length
meters

1 Answer

6 votes

Answer:

(x+5) metres

Explanation:

correct question

The rectangle below has an area of x^2+8x+15 square meters and a width of x+3 meters. What expression represents the length of the rectangle?

Area of the rectangle = Length * width

Factorize the area

A(x) = x^2+8x+15

A(x) = x^2+3x+5x+15

A(x) = x(x+3) + 5(x+3)

A(x) = (x+3)(x+5)

Since the width is x+3, the length of the rectangle will be (x+5) metres