The area of a rectangle is 2 times the area of a square. If the rectangle is 10 inches long and the width of the rectangle is the same as the length of a side of the square, find the length of a side of the square.
A) 1 inches
B) 10 inches
C) 7 inches
D) 5 inches

Question

Quizplus · Accepted Answer

The area of the rectangle is given as 2 times the area of the square. Let the side of the square (which is also the width of the rectangle) be x inches. The area of the square is $x^2$ square inches, and the area of the rectangle is $10x$ square inches (since the length of the rectangle is 10 inches and its width is x inches). According to the problem, $10x = 2x^2$. Dividing both sides by x (assuming x is not zero), we get $10 = 2x$. Solving for x gives $x = 5$ inches.

The Area of a Rectangle Is 2 Times the Area