Question

The perimeter of a rectangle is 760 feet. Let x represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.

Answer 1

do u know what's the formula to find the perimeter of a rectangle

Answer 2

by adding all sides?

Answer 3

represented in a formula ....

Answer 4

P=2L+2W

Answer 5

yes, right u are
now plug P=760, what u get

Answer 6

760=2L+2W

Answer 7

then simplify it, both sides divided by 2

Answer 8

380=L+W

Answer 9

yes...
now from 380 = l+w, it similar by l=380-w right ?

Answer 10

yes

Answer 11

ok, now plug w=x gives
l = 380-x, right ?

Answer 12

yeah, I understand

Answer 13

then, u know that the formula to find area of a rectangle is
A = l * w
subtitute l and w in x form above, what u get

Answer 14

380x-x^2

Answer 15

A = (380-x)x = 380x-x^2
u are right

Answer 16

so as a quadratic would I write it as -x^2-380x

Answer 17

-x^2+380x

Answer 18

thought one :)