IKMC 2027 - Grades 7-8 - Self-study SET 12 - Thematic Batch 3 Question 16

Question 16

A giraffe is inside a triangular enclosure with side lengths 20 m, 16 m and 12 m. It can reach 2 m beyond the fence to eat the grass in the shaded region. Find the area of this region.

Editorial numerical convention: The answer choices use π ≈ 3.14; the exact area is expressed using π in the solution.

Question illustration

$96m^2$
$99{,}14m^2$
$102{,}28m^2$
$105{,}42m^2$
$108{,}56m^2$