Hi! Can you please tell me the answer and explain how to do this (in your own words)? The best answer get's brainiest!Find the area:
Accepted Solution
A:
Answer:[tex]97.5 \ ft^2[/tex]Step-by-step explanation:1. Find the area of rectangle. Rectangle:Width = 12 ftLength = 5 + 10 = 15 ft[tex]Area=\text{Length}\times \text{Width}\\ \\=12\cdot 15\\ \\=180\ ft^2[/tex]2. Find the area of two white triangles.a) Right triangle with legs of 12 ft and 10 ft.[tex]A_1=\dfrac{1}{2}\times \text{Leg}_1\times \text{Leg}_2\\ \\=\dfrac{1}{2}\cdot 10\cdot 12\\ \\=5\cdot 12\\ \\=60\ ft^2[/tex]b) Right triangle with legs of 5 ft and 12 - 3 = 9 ft.[tex]A_2=\dfrac{1}{2}\times \text{Leg}_1\times \text{Leg}_2\\ \\=\dfrac{1}{2}\cdot 5\cdot 9\\ \\=\dfrac{1}{2}\cdot 45\\ \\=22.5\ ft^2[/tex]3. Find the area of shaded region:[tex]A_{shaded}\\ \\=A-A_1-A_2\\ \\=180-60-22.5\\ \\=97.5 \ ft^2[/tex]