Question

A community group is planning on the expansion of a square flower garden in a city park. If each side of the original garden is increased by 9 meters, the new total area of the garden will be 169 square meters. Find the length of each side of the original garden.

Answer 1

A square has its diagonals perpendicular bisector to each other and is of the same length. The length of each side of the original garden is 4 meters.

What is a square?

A square has its diagonals perpendicular bisector to each other and is of the same length.

A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.

Let the length of the original garden be x. Given the garden is in a square shape the area will be the square of the side of the square garden.

Given that each side of the original square garden is increased by 9 meters, therefore, the new total area of the garden will be 169 square meters. Thus, the area of the new garden can be written as,

(x+9)²=169

(x+9)²=13²

x+9=13

x=4

Hence, the length of each side of the original garden is 4 meters.

Learn more about Square:

https://brainly.com/question/14198272

#SPJ1