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The area of a rectangle is 3 3/4 unit squares, and its length is 5 units. Find the width and the perimeter of this rectangle.

User Skyork
by
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2 Answers

6 votes

Answer:

Width = 3/4 units or 0.75 units

perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units

Step-by-step explanation:

A rectangle has two opposite sides equal in length. The 2 opposite sides are also parallel to each other.

The area of a rectangle = LW

where

L = length

W = width

The area of the rectangle = 3 3/4 units² = 15/4 units²

Length = 5 units

Therefore,

15/4 = 5W

multiply both sides by 4

15 = 20W

divide both sides by 20

W = 15/20

W = 3/4

Width = 3/4

Perimeter of the rectangle = 2L + 2W

Perimeter of the rectangle = 2(L + W)

Perimeter of the rectangle = 2(5 + 3/4)

perimeter of the rectangle = 2(23/4)

perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units

User Ishu Gupta
by
4.1k points
3 votes

Answer:

Width = 3/4 units or 0.75 units

perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units

Explanation:

A rectangle has two opposite sides equal in length. The 2 opposite sides are also parallel to each other.

The area of a rectangle = LW

where

L = length

W = width

The area of the rectangle = 3 3/4 units² = 15/4 units²

Length = 5 units

Therefore,

15/4 = 5W

multiply both sides by 4

15 = 20W

divide both sides by 20

W = 15/20

W = 3/4

Width = 3/4

Perimeter of the rectangle = 2L + 2W

Perimeter of the rectangle = 2(L + W)

Perimeter of the rectangle = 2(5 + 3/4)

perimeter of the rectangle = 2(23/4)

perimeter of the rectangle = 23/2 = 11 1/2 units or 11.5 units

User Ajitha
by
4.6k points