SOLUTION: A rectangle and a square have the same width, but the rectangle is 5m longer than the square. Their total area 133m2. Find the dimensions of each figure. Choices for the square'

Question 212325This question is from textbook
: A rectangle and a square have the same width, but the rectangle is 5m longer than the square. Their total area 133m2. Find the dimensions of each figure. Choices for the square's width are 6,7,8. This question is from textbook

Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Let x=side length of the square=width of the rectangle
Then x+5=length of the rectangle
---
The area of the square is x(x)
The area of the rectangle is x(x+5)
---
We have the equation:
x(x)+x(x+5)=133
x(x+x+5)=133
x(2x+5)=133
---
But, 133=7(19) its only factors
Coincidentally, if x=7, 2x+5=2(7)+5=14+5=19
---
So x=7 m
RELATED QUESTIONS
a rectangle and a square have the same width but the rectangle in 6m longer than the... (answered by cleomenius)

Hi, I'm unsure about this equation, could you tell me if it is right or wrong? And if it... (answered by longjonsilver)

A square and a rectangle have the same area. The length of the side of the is 6CM longer... (answered by ankor@dixie-net.com)

A square has an area of 169 centimeters it's side is 3cm longer than the width of a... (answered by macston)

Hi! I have trouble with this word problem. Can you help me? A rectangle and square have... (answered by fractalier)

Dalton, the tinsmith, has two pieces of sheet metal with the same area. one is a square... (answered by Cromlix)

A rectangle and a square have the same area. If the length of the side of the square is 7 (answered by josgarithmetic)

The area of a rectangle is 36 square feet. Find the length and the width of the rectangle (answered by ikleyn)

The length of a rectangle is 4 centimeters longer than its width. The area of the... (answered by Boreal)