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3 years ago

The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of the garden?

Mathematics

2 answers:

iragen [17]3 years ago

8 0

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

sergey [27]3 years ago

7 0

Answer:

214

Step-by-step explanation:

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