The width of the pool is 10 feet.
<h3>What is area of rectangle?</h3>
The area of rectangle is product of length and breadth.
Let the width be x.
length = 24 + 2x. and breadth = 12 + 2x
We know, area= 1408 ft².
(12 + 2x)(24 + 2x) = 1408
12*24 + 12*2x + 24*2x + (2x)² = 1408
288 + 72x + 4x² = 1408
4x² + 72x + 288 - 1408 = 0
4x² + 72x - 1120 = 0
x² + 18x - 280 = 0
x² - 10x + 28x - 280 = 0
x(x - 10) + 28(x - 10) = 0
(x - 10)(x + 28) = 0
So, x=10, -28.
Hence, the width be 10 feet.
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Answer:
Step-by-step explanation:
∠FGD = ∠CGE {Vertically opposite angles}
∠FGD = 15°
∠AGF + ∠FGD = 90°
x + 15 = 90
x = 90 - 15
x = 75°
(9x+1)=(7x+13)
2x+1=13
2x=12
x=6
7(6)+13
42+13
55
180-55
125
y= 125°
