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

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.