A rectangular table has an area of 27 ft² and a perimeter of 24 ft.what are the dimensions of the table
Answers
Answer: 9ft and 3ft.
Explanation:
Area: 9 x 3 = 27.
Preimeter: 9 + 9+ 3 + 3 = 27
Hope this helped.
Answer:
27
Step-by-step explanation:
So we know the formula for area is:
A=LW
And perimeter is:
P=2L+2W
We know area is 27 and perimeter is 24, so our equations are:27=LW
24=2L+2W
To solve as a system of equations, lets isolate L on the second equation.
24 = 2L + 2W
24 -2W = 2L
12 - W = L
And Plug this into the first equation
27 = (12-W)W
27 = 12W - W2
This looks like a quadratic, so let's bring everything to the left side and factor.
W2 - 12W + 27 = 0
(W-9)(W-3)=0
W=9 or W=3
Plug both of these into 27=LW to find L
27=9L
L=3 when W=9
or 27=3L
L=9 when W=3
These both say pretty much the same thing, so this table is 9 feet long and 3 feet wide.
or
area of a rectangular = l x b
27 = 9 x 3
Perimeter of a rectangular = l + l + b + b
24 = 9 + 9 + 3 + 3
dimension of the table = 9 * 3 = 27