Answer:
The value of x is 7.
Step-by-Step explanation:
First create an equation based from the problem above.
Given:
L = x+5 cm
W = x-3 cm
A = 48 sq.cm
Assuming that x+5 and x-3 are the length and width, respectively.
The area of a rectangle is length multiply to width or Length × Width = Area.
(x+5) (x-3) = 48
Then, simplify and evaluate the equation to solve for x,
(x+5)(x-3) = 48
x²-3x+5x-15 = 48
x²+2x-15 = 48
x²+2x-15-48 = 0
x²+2x-63 = 0
(x+9)(x-7) = 0
x = -9 ; x = 7
Use only postive value of x because no such sides has a negative value
substitute the value of x to
x+5=7+5=12
x-3=7-3=4
Area = L × W
48= (12)(4)
48 = 48
TRUE
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Verified answer
Answer:
The value of x is 7.
Step-by-Step explanation:
First create an equation based from the problem above.
Given:
L = x+5 cm
W = x-3 cm
A = 48 sq.cm
Assuming that x+5 and x-3 are the length and width, respectively.
The area of a rectangle is length multiply to width or Length × Width = Area.
(x+5) (x-3) = 48
Then, simplify and evaluate the equation to solve for x,
(x+5)(x-3) = 48
x²-3x+5x-15 = 48
x²+2x-15 = 48
x²+2x-15-48 = 0
x²+2x-63 = 0
(x+9)(x-7) = 0
x = -9 ; x = 7
Use only postive value of x because no such sides has a negative value
substitute the value of x to
x+5=7+5=12
x-3=7-3=4
Area = L × W
48= (12)(4)
48 = 48
TRUE