Question

a square and a rectangle have the same perimeter. calculate the area of a rectangle if the side of a square is 60cmand the length of a rectangle is 80cm

Answer 1

3,200 Square centimeters

Explanation:

In order to solve for the perimeter of a square with side lengths of 60, we can use this expression:

• 60 × 4 = 240

(We multiply by 4 because a square has four equal side lengths, and the perimeter is all of the side lengths added up)

Therefore, the perimeter of the square is 240cm.

Now that we know this, we can now take that perimeter, and subtract 160 from it.

(We subtract 160 from it because the length of the rectangle is 80cm, and because a rectangle has two sides that represent the length, we multiply the 80 by 2.)

• 240 - 160 = 80

Now, we can divide the 80 by 2 to get the length of the other 2 sides.

• 80 ÷ 2 = 40

Therefore, the rectangles dimensions are 80cm by 40cm.

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve for the area of a rectangle, we use the expression:

• length × width = height

Inserting the numbers into the equation:

• 80 × 40 = 3200

Therefore, the area of the rectangle is 3,200 square centimeters.