Question

the perimeter of a rectangle concrete slab is 114ft and its area is 702ft. find the dimensions of the rectangle.
A) using l for the length, write an expression for the width of the rectangle in terms of l(hint solve the formula for w).
B)write a quadratic formula using l, the expression you found in part a and the area of the slab.
C)Solve the quadratic equation. use the two solutions to find the dimensions of the rectangle.

Answer 1

The perimeter of the rectangle is given by the equation
\[P = 2l + 2w\]
and the area is given by the length times the width
\[A = l*w\]

Answer 2

For A) just manipulate one of these equations to find out what w equals

Answer 3

so just solve for w

Answer 4

For part A), yup

Answer 5

ok :) what about part b

Answer 6

wait but I don't have l. how do I find l

Answer 7

@satellite73

Answer 8

Solve both of those equations for w

Answer 9

but how do I find w if I don't have L

Answer 10

You will have l when you solve for w

Answer 11

but w will have l in its answer

Answer 12

You're going to put both of the equations together and get rid of w

Answer 13

ok