A rectangle and a square have the same width but the rectangle is 5m longer than the square. Their total area is 133m^2. Find the dimensions of each figure.Choices for the squares width: 6, 7, 8

sarahkobearab4

sarahkobearab4

Answered question

2022-08-04

A rectangle and a square have the same width but the rectangle is 5m longer than the square. Their total area is 133 m 2 . Find the dimensions of each figure.Choices for the squares width: 6, 7, 8

Answer & Explanation

Cynthia George

Cynthia George

Beginner2022-08-05Added 10 answers

so,
area square = x 2
area rectangle = x ( x + 5 ) = x 2 + 5 x
total area = x 2 + x 2 + 5 x = 133
so 2 x 2 + 5 x = 133
plug in numbers and see
f(6)=102
f(7)=133
so, x=7
just plug in x to solve for
area square = x 2
area rectangle=x*(x+5)

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