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A rectangular wall 4 meters high and 5 meters wide is to be painted. If the cost of painting the entire wall is $15 per square meter, what will be the total cost?

March 22, 2026Mathematics

ScanSolve AI Answer

Answer

4.5 m

5 steps

Identify the similar triangles.
The large triangle has height $h$ m (lamp-post) and base $3 + 2 = 5$ m.
The small triangle has height 1.8 m (man) and base 2 m.
Set up the proportion from similar triangles.
$\frac{h}{5} = \frac{1.8}{2}$
Cross-multiply to solve for $h$ .
$h = \frac{1.8 \times 5}{2}$
Calculate the numerator.
$1.8 \times 5 = 9$
Divide by the denominator.
$h = \frac{9}{2} = 4.5$
The lamp-post is $\mathbf{4.5}$ m high.

4.5 m

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