Question

What’s the area of this shape

Answer 1

Split this shape into a trapezoid and a triangle

Area of trapezoid:

A = 1/2(b1+b2)h

A = 1/2(4+8) (2)

A = 12

Area of triangle:

A = 1/2bh

A = 1/2(8)(5.75)

A = 23

Area of the shape = Area of trapezoid + Area of triangle

= 12 + 23

= 35

Answer

35 cm^2

Answer 2

The shape at the top is a trapezoid with width 2 cm and lengths 4 and 8 cm.

Its area is

4+8

-------- 2 cm = 12 cm^2

2

The lower part consists of two congruent triangles. The area of a triangle is

A = (1/2)(b)(h). Here, A = (1/2) (4)(5.75) = 11.5, so the area of both triangles is 23 cm^2.

Thus, the total area is (12+23) cm^2, or 35 cm^2.