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eduard
3 years ago
13

a square has one side increased in lenght by two inches and an adjacent side decreaded in length by two  inches. If the resultin

g rectange has an area of 60 square inches, what was the area of the original square?
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0
Let
x---------> length original square side
x1-------->  length resulting rectangle
y1--------> wide resulting rectangle
A1--------> area resulting rectangle

we know that
x1=x+2
y1=x-2
A1=60 in²
60=(x+2)*(x-2)--------> 60=x²-2x+2x-4-------> 60=x²-4------> x²=64
x1=8
x2=-8

the solution is 
x=8 in
<span>the area of the original square is 8*8-------> 64 in</span>²

the answer is 64 in²

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The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

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Taking logarithm both sides,

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Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

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Taking logarithm both sides,

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