when each side of a square was increased by 3cm,the area become 324sq.cm.let x be the length of side of the original square.what is the length of side of new square.what is the length of side of the original square
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Answer:
The original size was
5
c
m
Explanation:
Let
a
be the original side of the square.
We know that if the side is increased by
3
the area of the new square is
64
c
m
2
. So we can write that:
a
≥
0
because
a
is a geometrical dimension and they are never negative.
The area of square with 3 cm longer sides is
64
c
m
2
, so we can write
(
a
+
3
)
2
=
64
Since we are only looking for positive values of
a
(because of pt. 1) we can take a square root of both sides of the equation to get:
a
+
3
=
8
.
Now after substracting
3
from both sides we get the answer:
a
=
5
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