if the sides of a square are lengthened by 3 m, the area becomes 81 m2. Find the length of a side of the original square.
1 answer:
Answer:
The length of a side of the original square is 6 meters
Step-by-step explanation:
Let
x ----> the length side of the original square
The area of a square is equal to
where
b is the length side of the square
In this problem
The new length side of the square is and the area is
so
solve for x
take square root both sides
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B=3; C=16; and E=4096.
Using the information we have gives us
We know that:
We know that 2³ = 8, so B = 3.
To "undo" a square root, we square the number; 4²=16, so C = 16.
To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.
Using the information we have gives us
We know that:
We know that 2³ = 8, so B = 3.
To "undo" a square root, we square the number; 4²=16, so C = 16.
To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.