Let's denote the length of each side of the original square flower garden as \( x \) meters. When each side is increased by 7 meters, the new side of the square flower garden becomes \( x + 7 \) meters.
The area of a square is given by the square of the length of its side. Therefore, the area of the expanded garden can be written as:
\[
(x + 7)^2 = 144 \text{ m}^2
\]
To find \( x \), we need to solve the equation:
\[
(x + 7)^2 = 144
\]
Taking the square root of both sides, we get:
\[
x + 7 = \sqrt{144}
\]
\[
x + 7 = 12
\]
Subtracting 7 from both sides, we find:
\[
x = 12 - 7
\]
\[
x = 5
\]
Hence, the length of each side of the original square flower garden is \( 5 \) meters.
6.
Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 144 m2. Find the length of each side of the original garden.
12 m
m
19 m
5 m
1 answer
3 answers