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Lilit [14]
3 years ago
14

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
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

The perimeter of the enlarged garden is 16.56 meters.

<u>Step-by-step explanation:</u>

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%.

<u>To find the enlarged length :</u>

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.

<u>To find the enlarged width :</u>

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.

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