# Lowe sold a square carpet,and also a rectangular carpet whose length was 5/4 the width.The combined area of the two was 405 ft square.The price of the first carpet $10 per square yard ,and of the second$12 per square yard.If $10 more was received for the square piece than the other ,find the dimension of each 1 by adrian22 ## Answers 2015-04-28T17:00:41+08:00 ### This Is a Certified Answer Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest. Price of carpet: Price of carpet: Square=$10 per yd²
Rectangle=\$12 yd²

The square:
A1=Area of the square
L1=length of the side of the square
A1=L²

The rectangle:
A2=Area of the rectanble
L=length of the rectangle
W=width of the rectangle
A2=LW

The length was 5/4 the width

or simply:

The Combined Area of the two was 405 ft²
A1+A2=405ft²
L²+LW=405ft²
L²+=405ft²
=405ft²
Multiply both sides by 5
9L²=2025
Divide both sides by 9
L²=225ft²
Square root both sides
L=15ft

Now find the width of the rectangle:
L=
15ft=
Multiply both sides by 4
60ft=5W
Divide both sides by 5
W=12ft

Now find the area of the rectangle:
A2=LW
A2=15ft(12ft)
A2=180ft²

Substitute to the equation to find the area of the square
A1+A2=405ft²
A1+180ft²=405ft²
Subtract both sides by 180ft²
A1=225ft²
Now substitute the value of A1
L²=225ft²
Square root both sides
L=15ft

I don't think the price is useful for this question. But hope this helps =)