Question

the length of a hall is 20m and with 16 the sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls find the height of the hall​

Answer 1

The height of the hall is 8.9 m

Step-by-step explanation:

Let the height of hall be h m

Length, l = 20 m

width, w = 16 m

Area of floor and roof = 2lb

Area of four walls = 2h(l+b)

The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls

2lb = 2h(l+b)

$2\times 20\times 16=2h(20+16)$

$h=\dfrac{2\times 20\times 16}{2\times 36}$

$h=\dfrac{80}{9}\approx 8.9\ m$

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