Question

an architect designed a mountain lodge with special viewing windows on the top floor. how many square yards of glass will it take to make in large window?

Answer 1

$4yd^2$

Explanation

to find the area of the glass, we can divide the shape into 2 more known shapes, a triangle and a rectangle

so

total area= area of the rectangle(green)+area of the triangle(yellow)

the area of a rectagle is given by:

$\text{Area}_{rectangle}=base\cdot heigth$

and for the triangle, the area is

$\text{Area}_{triangle}=\frac{1}{2}base\cdot height$

then replace

$\begin{gathered} \text{total area=(2 yd }\cdot1\text{ yd)+}\frac{\text{(2 yd }\cdot\text{ 2 yd)}}{2} \\ \text{total area=2 yd}^2+2yd^2 \\ \text{total area=}4yd^2 \end{gathered}$

so, the answer is

$4yd^2$

I hope this helps you