Question

Part 9: What is the area of this figure? NO LINKS!!​

Answer 1

591 km²

Explanation:

Extending the horizontal line divides the figure into three rectangles:

top: (20-5) × 32

bottom left: 5 × 19

bottom right: 4 × 4

The total area is the sum of products of the dimensions of these rectangles:

A = (15×32 +5×19 +4×4) km² = (480 +95 +16) km² = 591 km²

Answer 2

shaded region : 591 square kilometres

Explanation:

Area of the whole rectangle = L * W = 32 * 20 = 640 square kilometres

Area of unshaded region = ( 5 * 9 ) + ( 4 * 1 ) = 49 square kilometres

the shaded region = Area of the whole rectangle - Area of unshaded region

= 640 - 49

= 591 square kilometres