Question

Morgan is designing a rectangular quilt. The quilt will be 1 3/5m wide and will have a an area of 6 m2. How long is the quilt?

Answer 1

The length of the rectangular quilt given the width as 1 3/5m and area of 6 m² is 3 3/4m

Area of a rectangle

• Width of the quilt = 1 3/5m
• Length of the quilt = x
• Area of the quilt = 6 m²

Area of the rectangular quilt = length × width

6 = x × 1 3/5

6 = x × 8/5

6 = 8/5x

• divide both sides by 8/5

x = 6 ÷ 8/5

x = 6 × 5/8

= 30/8

= 15/4

x = 3 3/4 m

Therefore, the length of the rectangular quilt is 3 3/4m

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