Question

Howard has a garden in the shape of a rectangle. The length is 5.4 meters The width is 1.5 meters Howard will increase both the length and width by 20% each. What will be the perimeter, in meters, of the enlarged garden? _____ meters

Answer 1

The perimeter of the enlarged garden is 16.56 meters.

Explanation:

The garden is in the shape of a rectangle.

• The length of the rectangle = 5.4 meters.
• The width of the rectangle = 1.5 meters.

The Rectangle is enlarged by increasing the length and width by 20%.

To find the enlarged length :

The original length 5.4 is increased by 20%.

⇒ (20/100) × 5.4

⇒ 0.2 × 5.4

⇒ 1.08

• The 20% of the length is 1.08
• The enlarged length is 5.4 + 1.08 = 6.48 meters.

To find the enlarged width :

The original width 1.5 is increased by 20%.

⇒ (20/100) × 1.5

⇒ 0.2 × 1.5

⇒ 0.3

• The 20% of the width is 0.3
• The enlarged width is 1.5 + 0.3 = 1.8 meters.

The perimeter of the enlarged rectangle is found by substituting the enlarged values of length and width in the perimeter formula.

Perimeter of the enlarged rectangle = 2 (length + width)

⇒ 2 (6.48 + 1.8)

⇒ 2 × 8.28

⇒ 16.56 meters.

∴ The perimeter of the enlarged garden is 16.56 meters.