Directions: Use a variable to represent the unknown quantity, and then write an equation from the given and information.

1. The area of a concrete rectangular pathway is 350m^2 and its perimeter pathway is 90 m. What is the length of the pathway?

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Aquinomark0955630190id Aquinomark0955630190id · Answer 1

Answer:

length=35

Step-by-step explanation:

Area of the rectangle: A=l*w

A=L*w

350=L*w

350/L=w

Perimeter of a rectangle: P=2L+2W

P=2L+2W

Substitute 350/L=W

P=2L+2W

90=2L+2(350/L)

90=2L+700/L

add 2L to 700/L

90=(2L²+700)/L

90L=2L²+700

transpose 90L to the right side leaving 0 on the left side

0=2L²-90L+700

Factor 2l²-90l+700

0=(L-10)(L-35)

L=10 ; L=35

Length is L=35 meter because length must be longer than the width.

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