Step-by-step explanation:
(ax + b)² = a²x² + 2abx + b²
In this case, a = 1, so:
14 = 2b
b = 7
(x + 7)² = x² + 14x + 49
A = 3,953 in²
You find the area of the whole triangle:
1/2bh = 1/2(63+31)(63+62) = 5875
Then subtract the missing rectangle:
lw = (62)(31) = 1922
5875 - 1922 = 3953 inches
Since you're multiplying inches by inches, it's inches².
The answer for A is 2,026. I set a porportion up which is 77/x = 3.8/100
The answer to B is 26
