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Question

Pinky is making a hopscotch in which all rectangles are of the same size. If the perimeter of this structure is 112 units. What is the value of 'y'?

A
6
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B
5
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C
4
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D
2
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Solution

The correct option is C 4
Given

The Perimeter of the hopscotch = 112 units

Perimeter of the hopscotch = Add length 12 times and width 10 times

12 times length = 12 ×length = 12 × 6 = 72 units

10 times width = 10 ×width = 10 × y = 10y units

Perimeter = 72 + 10y

112 = 72 + 10y

112 - 72 = 10y

10y = 40

y = 4

Therefore, the value of 'y' is 4.

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