the length width and height of a living area 10ft 15ft and 12ft respectively. after extending the length of the living area, its lateral surface area is 792 sq ft. find the increased length of the living area.
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Answer:
The increased length of the living area = 18 ft
Step-by-step explanation:
Given dimensions of living room
Length = 10 ft
Width = 15 ft
Height =12 ft
After extending length of the living area lateral surface area = 792 sq ft
let increased length = L , there is no change in width and height
Lateral Surface area = 2 height(length +Width )
= 2 (12) ( L +15)
= 24 ( L+15) which is equals to 792
24 (L+ 15) = 792
24L + 360 = 792
24L = 432
L = 432 / 24 = 18 ft
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