Question

The geometric figure consists of a right triangle and $2$ semicircles. Find the area of the triangle if the diameter of the two circles are $25m$ and $12m$ respectively.

• A. $150m^2$
• B. $140m^2$
• C. $142m^2$
• D. $117m^2$
• E. $15m^2$

Answer 1

The correct option is A $150m^2$

If the the diameters of the circles are $25$ m and $12$ m,

then sides of the triangle are $25$ m and $12$ m

Hence area of the triangle $=\frac{1}{2}\times$ height $\times$ base

$=\frac{1}{2}\times 25\times 12=150$ m${}^2$