The bricks are built to form a garden. The perimeter of the outer square is 264 centimeters. The area of the inner square is 900 square centimeters. What is the length and width of the brick.

Length: 124.7875 cm

Width: 7.2125 cm

Step-by-step explanation:

The perimeter of this area can be calculated as:

P = 2L + 2W

Where P is the perimeter, L is the length and W is the width

If the perimeter is 264 centimeters, we have that:

2L + 2W = 264

L + W = 132

The area can be calculated as:

A = L*W

Where A is the area.

If the area is 900 cm2, we have that:

L*W = 900

From the first equation, we have that L = 132 - W

Using this value in the area equation, we have:

(132-W)*W = 900

132W - W2 = 900

W2 - 132W + 900 = 0

delta = b2 - 4ac = 17424 - 3600 = 13824

sqrt(delta) = 117.575

W1 = (132 + 117.575) / 2 = 124.7875 cm

W2 = (132 - 117.575) / 2 = 7.2125 cm

Using the smaller value for W, the length will be:

L + 7.2125 = 132

L = 124.7875 cm