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mash [69]
3 years ago
12

A square is altered so that one dimension is increased by 5 meters and the other dimension is increased by 3 meters. If the area

of the resulting rectangle is 99 square meters, find the area of the original square.

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

The area of the original square is 36\ m^{2}

Step-by-step explanation:

Let

x------> the length side of the original square

we know that

99=(x+5)(x+3)\\ \\99=x^{2} +3x+5x+15\\ \\x^{2} +8x+15-99=0\\ \\ x^{2} +8x-84=0

Solve the quadratic equation by graphing

The solution is x=6\ m

see the attached figure

The area of the original square is

A=6^{2}=36\ m^{2}

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