Question

11. What is the area of a figure formed using a rectangle with a length of

13 kilometers and a width of 7 kilometers and a triangle with a base of
14 kilometers and a height of 11 kilometers?

Answer 1

well, let's simply get the area of each figure, sum them up and that's the area of the composite shape with the triangle and rectangle.

`\stackrel{\textit{\large Areas}}{\stackrel{rectangle}{(13\cdot 7)}~~ + ~~\stackrel{triangle}{\left[\cfrac{1}{2}(\stackrel{b}{14})(\stackrel{h}{11}) \right]}}\implies 91~~ + ~~77\implies 168`

Answer 2

168 kilometers²

Explanation:

Area of a rectangle =l×b/w

13×7=91

Area of a triangle =½(b×h)

½(14×11)

½×154=77

Sum of area of both shapes=area of the figure

91+77=168