Answer:
Area of the garden is [tex]306feet^2[/tex]
Step-by-step explanation:
Given:
Perimeter of the garden=84 feet
Let the width of the garden be 'W'
Length of the garden is 24 feet longer than the width of it
so, length of the garden= W+24 feet
To find the width 'W'
Perimeter of a rectangle= 2(Length+Width)
[tex]84 =2(W+24+W)\\ 84 =4W+48\\ 84-48=4W\\ 4W=36\\ W=9[/tex] feet
Width=9 feet
Length=W+24= 9+24= 34 feet
Area of the garden= Length*width
[tex]=34*9\\ =306 feet^2[/tex]
Area of the garden is 306 square feet
