SOLUTION: The combined area of a square and a rectangle is 64 square centimeters. The width of the rectangle is 2 cm more than the length of a side of the square and the length of the rectan
Algebra ->
Rectangles
-> SOLUTION: The combined area of a square and a rectangle is 64 square centimeters. The width of the rectangle is 2 cm more than the length of a side of the square and the length of the rectan
Log On
Question 374091: The combined area of a square and a rectangle is 64 square centimeters. The width of the rectangle is 2 cm more than the length of a side of the square and the length of the rectangle is 2 cm more than its width. Find the dimensions of the square and the rectangle. Answer by solver91311(24713) (Show Source):
Let represent the measure of a side of the square. Then represents the width of the rectangle and represents the length of the rectangle. The area of the rectangle is therefore which, added to the area of the square, , equals 64.
Simplify, put in standard form, factor, and solve for .
John
My calculator said it, I believe it, that settles it