Tyler measured the floor of his storage unit, which is rectangular. It is 8 feet wide and 17 feet from one corner to the opposit
1 answer:
Answer:
17 ft
Step-by-step explanation:
Use pythagorean theorem:
The rectangular storage unit is split into 2 right triangles since it is 17 feet diagonally. So, 17 feet is the hypotenuse of the right triangle.
Once you solve everything you will find that x^2 = 225, so x = 15 ft. That is the length of the storage unit.
You might be interested in
Answer
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula
As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.