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The total surface area of the walls of a room 7m long, 5m wide and xm high is 96...


Question

The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x

Options

A) \(\frac{2}{3}\)

B) 2

C) 4

D) 8

The correct answer is B.

Explanation:

T.S.A of the wall \(=7\time 5 + 7 \times x + 5 \times x +7 \times 5 = 96\\70 + 7x + 5x = 96 \Rightarrow 12x = 96-70=26\\x = \frac{26}{12}=2\)

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Discussion (2)

  • I appreciate the explanation but I don't understand.
    Please can you guys expatiate??
    Why wasn't the normal formula[2(lh+bh+lb)] used
    Please help
    I've been battling with this question for a while??

  • T.S.A of the wall \(=7\time 5 + 7 \times x + 5 \times x +7 \times 5 = 96\\70 + 7x + 5x = 96 \Rightarrow 12x = 96-70=26\\x = \frac{26}{12}=2\)