Question

Find the area of the polygon.!
A. 104.5 cm2 C. 104 cm2
B. 126.5 cm2 D. 126 cm2

Answer 1

B

Explanation:

The figure is composed of a rectangle and a triangle.

area of rectangle = 13 × 8 = 104 cm²

The triangle has a base = 13 - 4 - 4 = 5 and height = 17 - 8 = 9

area of triangle =
`(1)/(2)` × 5 × 9 = 22.5 cm²

Area of polygon = 104 + 22.5 = 126.5 cm² → B

Answer 2

B

Explanation:

Rectangle:

Length = 13 cm

Width = 8 cm

Area= length * width

= 13 * 8

= 104 cm²

Triangle:

Height (h) = 17 - 8 = 9 cm

Base (b) = 13 - 8 = 5 cm

Area = (1/2)*bh

=(1/2)*9*5

= 45/2

= 22.5 cm²

Area of polygon = Area of triangle + area of rectangle

= 22.5 + 104

= 126.5 cm²