Question

HELPPP HHHEELOOOOOOO SCREENSHOT ATTACHED

Answer 1

102 in.²

Explanation:

the given figure is made up of a triangle and a rectangle. we can find out the areas of two of them separately and then add it up for the area of the whole figure as

area of rectangle:-

= length* breadth

= 15 * 5 in.²

= 75 in.²

area of triangle :-

= 1/2 *base*height

• here base = 15 - 3 - 3 = 9in.
• and height= 11 -5 = 6 in.

= 1/2*9*6in.²

= 27in.²

Total area

= 75 + 27 = 102in.² { required answer }

Answer 2

D) 102 in²

Explanation:

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

Rectangle

`\begin{aligned}\textsf{Area of a rectangle}&=\sf length * width\\&=15 * 5\\&=75\; \sf in^2\end{aligned}`

Triangle

`\begin{aligned}\textsf{Area of a triangle}&=\sf (1)/(2) * base * height\\\\&=(1)/(2) * (15-3-3) * (11-5)\\\\&=(1)/(2) * 9 * 6\\\\&=(9)/(2) * 6\\\\&=(54)/(2) \\\\&=27\; \sf in^2\end{aligned}`

Therefore, the area of the given composite figure is:

`\begin{aligned}\textsf{Area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of triangle}\\&=75+27\\&=102\; \sf in^2\end{aligned}`