The combined area of two squares is 104 square meters. The sides of the larger square are 5 times as long as the sides of the smaller square. Find the dimensions of each of the squares.
A)Dimensions of the smaller square are 1 by 1 meters, dimensions of the larger square are 2 by 2 meters.
B)Dimensions of the smaller square are 2 by 2 meters, dimensions of the larger square are 10 by 10 meters.
C)Dimensions of the smaller square are 3 by 3 meters, dimensions of the larger square are 15 by 15 meters.
D)Dimensions of the smaller square are 7 by 7 meters, dimensions of the larger square are 35 by 35 meters.
E)Dimensions of the smaller square are 1 by 1 meters, dimensions of the larger square are 5 by 5 meters.

Question

Quizplus · Accepted Answer

Let the side of the smaller square be $x$. Then, the side of the larger square is $5x$. The area of the smaller square is $x^2$ and the area of the larger square is $25x^2$. The total area is $x^2 + 25x^2 = 104$, which simplifies to $26x^2 = 104$. Solving for $x^2$ gives $x^2 = 4$, so $x = 2$. Therefore, the smaller square has dimensions $2 \times 2$ meters, and the larger square has dimensions $10 \times 10$ meters.

The Combined Area of Two Squares Is 104 Square Meters