Find the area of pentagon ABCDE in which and such that cm, cm, cm, cm and cm.

Question

Philoid · Accepted Answer

Given: A pentagon ABCDE

and

cm

Here,

Area (Pent. ABCDE) = area (ABC) + area (ACD) + area (ADE)

Area of triangle = × (base) × (height).

Here,

Area (ABC) = × (AC) × (BL) = × (10) × (3) = 15 cm².

Area (ACD) = × (AD) × (CD) = × (12) × (7) = 42 cm².

Area (ADE) = × (AD) × (EN) = × (12) × (5) = 30 cm².

Area (Pent. ABCDE) = area (ABC) + area (ACD) + area (ADE) = 15 + 42 + 30 = 87 cm².

Area (Pent. ABCDE) = 87 cm^2.