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 i
s the area of the original square picture?
1 answer:
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
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Answer:
Step-by-step explanation:
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Therefore,