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.

The length and width is 44cm for the outer, 30cm for the inmer

Step-by-step explanation:

For the outer square

264 centimeters is the perimeter, a square has four equal sides so the length and width will be the same

Formula for perimeter is * +*+*+ * = 4*

So 4 * = 264

*=264:4

* = 44

So one side is equal to 44cm and since all sides are equal length and width = 44cm

For the inner square

The area is equal to 900 square centimeters

The formula for area is length * breath sine a square has equal sides

Length and breath is the same l*b

So

L*B = 900 square centimeters

The square root of 900 = 30

30*30 = 900

So the answers is 30cm for the length and width of the square

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