Q38. - Algebra 1

Question

Find the perimeter and area of each figure.

Step-by-Step Solution

Answer

Perimeter of the given figure is 48 cm. and area is 96 square cm.

Step 1. We have given a right angle triangle with all sides given.

$\begin{array}{l}\text{Perpendicular }h=12\text{ cm}\\ \text{Base }b=16\text{ cm}\\ \text{Hypoteneous }l=20\text{ cm}\end{array}$

Step 2. Formula used.

$\begin{array}{l}\text{Perimeter of right angle triangle }P=h+b+l\\ \text{Area of right angle triangle }A=\frac{1}{2}bh\end{array}$

Step 3. Calculate the perimeter of right-angle triangle.

$\begin{array}{l}\text{Perimeter of right angle triangle }P=h+b+l\\ P=12+16+20\\ P=48\text{ cm}\end{array}$

Step 4. Calculate the area of right-angle triangle.

$\begin{array}{l}\text{Area of right angle triangle }A=\frac{1}{2}bh\\ A=\frac{1}{2}\left(16\right)\left(12\right)\\ A=96{\text{ cm}}^2\end{array}$

Therefore,

$\begin{array}{l}\text{Perimeter }P=48\text{ cm}\\ \text{Area }A=96{\text{ cm}}^2\end{array}$