# The perimeter of one square is 7 times the perimeter of the second square

May 31, 2021 | education

| **The perimeter of one square is 7 times the perimeter of the second square, find the area of the larger square if the sum of the perimeters of these two squares is 160cm.**

1. Determine the perimeter of the smaller square. Let the perimeter of the smaller square be a centimeters, then the perimeter of the larger square is 7a centimeters. Let’s make the equation:

a + 7a = 160;

8a = 160;

a = 160: 8;

a = 20 cm;

2. Determine the perimeter of the larger square:

160 – 20 = 140 cm;

3. Determine the length of the side of the larger square:

140: 4 = 35 cm;

4. Determine the area of the larger square:

35 x 35 = 1225 cm².

Answer: The area of the large square is 1225 square centimeters.

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