Question

Calculate the area of the figure below​

Answer 1

164 cm²

Explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer 2

136 cm²

Explanation:

The composite figure is made up of a triangle and a rectangle.

Area of the triangle

`\boxed{\begin{aligned}\textsf{Area of a triangle}&=(1)/(2) * \sf base * height\\\\ \implies \textsf{Area of $\triangle ABD$}&=(1)/(2) * BD * AB\\&=(1)/(2) * (16-8) * (13-7)\\&=(1)/(2) * 8 * 6\\&=4 * 6\\&=24\; \sf cm^2\end{aligned}}`

Area of the rectangle

`\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width * length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF * CF\\&=7 * 16\\&=112\; \sf cm^2\end{aligned}}`

Therefore, the area of the composite figure is:

`\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}`