The perimeter of the shape below becomes $186 c m$ when both the sides are decreased by $4 c m$ . Find the sides of the original shape?

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Solution

Given Length of given figure $= 2 x + 70$ .
breadth of given figure $5 x + 10$ .

Given perimeter =186 cm
if length $= 2 x + 70 - 4 = - 2 x + 66$
& breadth $= 2 x + 10 - 4 = 5 x + 6$

then $2 [2 x = 66 + 5 x + 6] = 186$
$[7 x + 72] = 93$
$73 = 93 - 72 = 21$
$[x = 3]$
$∴$ side of original shape $= 2 \times 3 + 70 = 76 c m$
& $5 \times 3 + 10 = 25 c m$

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For what value of x is the perimeter of shape 186 cm?

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