Two sides of a rectangle are in the ratio 3:4. If the longer side is 20 cm, what is the perimeter of the rectangle?

The perimeter of the rectangle is 70 cm

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Two sides of a rectangle are in the ratio 3 : 4

→ Let the width is the shorter side and the length is the longer side

∴ The ratio between the width and the length is 3 : 4

∵ The longer side is 20 cm

∴ The length of the rectangle = 20 cm

→ By using the ratio method

→  width  :  length

→  3          :  4

→  w         :  20

→ By using cross multiplication

∵ w × 4 = 3 × 20

∴ 4w = 60

→ Divide both sides by 4

∴ w = 15

∴ The width of the rectangle = 15 cm

∵ The perimeter of the rectangle = 2(length + width)

∴ The perimeter of the rectangle = 2(20 + 15)

∴ The perimeter of the rectangle = 2(35)

∴ The perimeter of the rectangle = 70 cm

∴ The perimeter of the rectangle is 70 cm

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i dont understand

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