SOLUTION: the perimeter of a garden is 66 m and its area is 270 square meter. find the dimension of the garden.. pleaseee help me:)))

Question 714044: the perimeter of a garden is 66 m and its area is 270 square meter. find the dimension of the garden..

pleaseee help me:)))
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
If you draw a rectangle, (go on, draw one!) and label the lengths as l and the widths as w, then the perimeter is
l+w+l+w or, simplifying this we get 2l+2w removing the common factor gives
2(l+w) this = 66m
dividing both sides by 2 gives
l + w = 33
rearranging this gives us
l = 33 - w let's call this equation (1)
Now.....
the area of a rectangle is l*w, this is = 270
i.e.
l * w = 270 let's call this equation (2)
using equation (1) in equation (2) gives
(33-w) * w = 270
multiplying out the bracket gives

rearranging this equation gives

using the formula for quadratics

gives
w = 18 or 15
since the width must be smaller than the length
this gives the length as 18 m and the width = 15 m

RELATED QUESTIONS
The perimeter of a garden is 66 meters and its area is 270 m2. Find the dimensions of... (answered by josgarithmetic)

the area of a rectangle is 200 square meters. The length of the garden is 1 meter times... (answered by ewatrrr)

A garden is 135 sq. meter dimension but sorrounded by 1 meter block what is the dimension (answered by JulietG)

The length of a rectangular garden is 10 meters more than twice its width. If the area of (answered by jorel555)

the area of a square garden is 625 meter square.find its... (answered by MathLover1)

The perimeter of a rectangular flower garden is 46 m. Find its maximum area. (answered by jsmallt9,richwmiller)

The perimeter of a garden is 20 feet. The area of the garden is 26 square feet. Draw this (answered by josgarithmetic,ikleyn)