Answer:
The area of the original square = 100 inches²
Step-by-step explanation:
The picture below is the complete image required to answer the question. The picture below was trimmed below as 5 inches was cut from the width and 6 inches from the length.
The cut picture area = 20 inches²
Therefore,
(x - 6)(x - 5) = 20
x² - 5x - 6x + 30 = 20
x² - 11x + 10
The factors are -10 and - 1
x² - x - 10x + 10 = 0
x(x - 1) - 10(x - 1) = 0
(x - 10)(x - 1) = 0
x = 10 or 1
10 is more appropriate as we will get a positive number if inserted in the equation.
(x - 6)(x - 5) = 20
(10 - 6)(10 - 5) = 20
4 × 5 = 20
x = 10
The area of the original square = L²
The area of the original square = 10²
The area of the original square = 100 inches²
