BTGmoderatorDC wrote: ↑Mon Dec 23, 2019 12:27 am
The figure above shows some of the dimensions of a triangular plaza with an L-shaped walk along two of its edges. If the width of the walk is 4 feet and the total area of the plaza and walk together is 10,800 square feet, what is the value of x ?
A. 200
B. 204
C. 212
D. 216
E. 225
OA
A
Source: Official Guide
Let's add a line to divide the figure into
3 separate shapes
(
area of blue triangle) + (
area of red rectangle) + (
area of green rectangle) = 10,800
Area of triangle = (base)(height)/2
So, we get:
(x)(96)/2 +
4x +
(4)(100) = 10,800
Simplify:
48x +
4x +
400 = 10,800
Simplify: 52x + 400 = 10,800
Subtract 400 from both sides to get: 52x = 10,400
Solve: x = 10,400/52 = 200
Answer: A
Cheers,
Brent
