Question

Calculate the area of quadrilateral ABCD. State the units of your answer.

Answer 1

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = $\frac{1}{2}$ × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = $\frac{1}{2}$ × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²