Question

Lisa built a rectangular flower garden that is 4 meters wide and has a perimeter of 26 meters.

What is the length of Lisa's flower garden?

Answer 1

9 m

Explanation:

Given that

Width of rectangular flower garden, w = 4 m

Perimeter of rectangular flower garden, p = 26 m

To find:

Length of Lisa's flower garden = ?

Solution:

First of all, let us understand perimeter, length and width of a rectangle.

Let ABCD be a rectangle. Please refer to the attached image.

Opposite sides of a rectangle are equal to each other.

AB = CD = Length

Let the length be
`l` m.

BC = DA = Width = 4 m

Perimeter of a closed image is equal to the sum of all the sides of the image.

So, perimeter of ABCD:

`p = AB + BC + CD + DA \\\Rightarrow \bold{ p = 2 * (Length +Width)}`

`26 = 2 * (l +4)\\\Rightarrow 2l =26-8\\\Rightarrow \bold{l = 9 m}`