A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 cm2

Question

asked Jun 17, 2022 96.3k views

1 Answer

Kyle Stoflet · Answer 1 · 2022-06-24T01:32:45+0000

Answer:

a) The area of each square is 81 square centimeters.

b) The side length of the square is 9 centimeters.

c) The perimeter of the rectangle is 54 centimeters.

Explanation:

Statement is incomplete. After some web research we conclude that the complete statement is the following:

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 square centimeters. Find:

a) The area of each square.

b) The side length of each square.

c) The perimeter of the rectangle.

a) The area of the each square is half the area of the rectangle. Hence, the area of each square is 81 square centimeters.

b) The area formula for squares (
), in square centimeters, is:

A = l^(2) (1)

Where
is the side length of the square, in centimeters.

If we know that
$A = 81\,cm^(2)$ , then the side length of the square is:

l = √(A)

$l = \sqrt{81\,cm^(2)}$

$l = 9\,cm$

The side length of the square is 9 centimeters.

c) The perimeter formula of the rectangle (
), in centimeters, is presented below:

$p = 6\cdot l$

$p = 6\cdot (9\,cm)$

$p = 54\,cm$

The perimeter of the rectangle is 54 centimeters.