Answer:
432 square feet
Step-by-step explanation:
We know perimeter of rectangle is 2(length + width)
we already know that length is 8 yards
and perimeter is 84 feet
we need to find width first
then
we find area of garden by using formula
area of rectangle = length * width
first we need to convert yards into feet as perimeter is in yards
1 yard = 3 feet
8 yards = 3*8 feet = 24 feet
now we plug value of length and perimeter in formula
perimeter = 2(length + width)
84 = 2(24 + width)
84/2 = 24 + width
=> 42 = 24 + width
=> width = 42 - 24 = 18
Thus, width of garden is 18 feet
now
area of the garden = length * width = 24* 18 feet square
area of the garden= 432 square feet
Other way to explain:
perimeter = 2 *length + 2 *width
length = 24 feet (8 yards = 24 feet)
since perimeter = 84 feet
84 = 2 * 24 + 2 * width
36 = 2 * width
18 = width
width = 18 feet
area of rectangle is length * width = 24 * 18 = 432 square feet
