Question

What is the area of the figure ?

45 cm ^ 2

50 cm ^ 2

70 cm ^ 2

90 cm ^ 2

Answer 1

70 cm^2

Explanation:

The area of square is 5×10=50 plus the square of triangle, high of triangle is 18-10=8 and base of triangle is 5 because it common base with square, so the square of triangle is 1/2(8)(5)=20

The total area is 50+20=70 cm^2

Answer 2

Answer: The correct option is (C) 70 cm².

Step-by-step explanation: We are given to find the area of the figure shown in the picture.

We note that the figure is composed of rectangle and a triangle.

The length and width of the rectangle are

l = 10 cm and w = 5 cm.

So, the area of the rectangle is

`A_r=l* w=10*5=50~\textup{cm}^2.`

The base (b) of the triangle is 5 cm and the height (h) is

h = 18 - 10 = 8 cm.

So, the area of the triangle is

`A_t=(1)/(2)bh=(1)/(2)*5*8=20~\textup{cm}^2.`

Therefore, the area of the figure is given by

`A=A_r+A_t=50+20=70~\textup{cm}^2.`

Thus, the required area of the given figure is 70 cm².

Option (C) is CORRECT.