The perimeter of a room is 74cm. Find the area of the room if its length is 23cm
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Step-by-step explanation:
length of room = 23cm
breath of room = x
perimeter of room = 74cm
:. perimeter of rectangle = 2 length + 2 breath
:. 74 = 2(23) + 2(x)
:. 74 = 46 + 2x
:. 2x = 74 - 46
:. 2x = 28
:. x = 28
2
:. x = 14
:. breath = 14cm
Area of rectangle = length × breath
:. A = 23 × 14
:. A = 322sqcm
:. Area of the room is 322sq cm
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