Question

This composite figure is made up of three simpler shapes. What is the area of the figure? 14 cm 5 cm 7 cm 7 cm 16 cm

Answer 1

The figure consist of parallelogram, square and right angle triangle.

The dimension of parallelogram is.

Base B= 14

Height H = 5.

The dimension of square is,

side a = 7.

The dimensions of rectangle is,

Base b = 16

Height h = 7 cm

Determine the area of composite figure.

`\begin{gathered} A=B\cdot H+a\cdot a+(1)/(2)\cdot b\cdot h \\ =14\cdot5+7\cdot7+(1)/(2)\cdot16\cdot7 \\ =70+49+56 \\ =175 \end{gathered}`

Thus area of composite figure is 175 square centimeter.