Question

HELP!!!!


Heather is planning to build a rectangular deck that is 10 feet longer than it is wide. Its area will be 375 square feet.

a) Write an equation using one variable for the area of the deck.
b) Solve by completing the square. What number will you add to both sides to complete the square?
c) What is the length of the deck?

Answer 1

let x be the width
what would the length be as an expression?

Answer 2

I don't know....

Answer 3

if the length is "10 feet longer than its wide"
and the width is = x as acxbox22 said

what's "x" and 10 units longer?

Answer 4

if the width is "x"
and the lenght is 10 units longer than "x"

then length = ?

Answer 5

x+10?

Answer 6

(w+10)*w?

Answer 7

yeap

Answer 8

the area is 375

thus 375 = (w+10) * w


if you want to know what "w" is, solve for "w"

Answer 9

thanks!

Answer 10

But how do I solve it using a square?

Answer 11

because I have to solve it by completing the square but IDK how to do that

Answer 12

have you covered factoring of quadratics yet? like factoring say \(x^2+3x+2?\)

Answer 13

oh.. you are supposed to solve it by completing the square?

Answer 14

as opposed to factoring or using the quadratic formula

Answer 15

Yes, by completing the square is part B

Answer 16

ok.. do you know what a "perfect square trinomial" is?
also just called a "perfect square"