Question

you trimmed a large square picture so that you could fit it into a frame. the area of the cut picture is 20 square inches what is the area of the original square picture?​

Answer 1

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