Question

Find the perimeter and area of the figure given below:

• A. 42 cm, 94 sq. cm
• B. 21 cm, 72 sq. cm
• C. 42 cm, 66 sq. cm
• D. 32 cm, 100 sq. cm

Answer 1

The correct option is A

42 cm, 94 sq. cm

The hypotenuse of the triangle is $\sqrt{6^2+8^2}=\sqrt{36+64}=10cm$

The perimeter of the composite shape is, = 1 + 6 + 10 + 1 + 7 +10 + 7 = 42 cm

Area of the figure, $=\text{Area of rectangle}+\text{Area of triangle}$
$\Rightarrow (l\times b)+(\frac{1}{2}\times b‘\times h)$
$\Rightarrow (10\times 7)+(\frac{1}{2}\times 8\times 6)$
$\Rightarrow 70+24$
$\Rightarrow 94c{m}^2$