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swat32
3 years ago
15

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

area of the resulting rectangle is 90ft squared. Find the original area of the square.
Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

the original area is 64ft squared or 169ft squared more perdurable 64  

Step-by-step explanation:

(x-2)(x+7)=90

x^2 +5x -14=90

x^2 +5x -14 -90=90-90

x^2 +5x -104=0

factor it out

(x−8)(x+13)=0

so 8 or -13

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<u>Answer:</u>

9. x = 12

10. x = 31

<u>Step-by-step explanation:</u>

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

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10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

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Let's answer this step-by-step.

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After that, when B sold it back to A, it was sold at a 10% loss. Therefore:

Price of commodity when B sold to A:
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Hence, A now has 99% of the original value of the commidity.
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