Question

Translate this problem to an equation and solve.
The area of a swimming pool is 200 square feet. The length of the pool is 10 feet longer than the width. What is the width of the swimming pool?
?feet

Answer 1

@JessicaBBY @JaziBoo @Jpenrod @jigglypuff314 @jojo4eva

Answer 2

the area of a swimming pool is 200 square feet. the lengthof the pool is 10 feet longer than the width.what is the width of the swimming pool?
.
Let w = width of pool
then
w+10 = length of pool
.




w(w+10) = 200
w^2 + 10w = 200
w^2 + 10w - 200 = 0
(w+20)(w-10) = 0
w = {-20, 10}
you can throw out the negative solution (extraneous) leaving:
w = 10 feet

Answer 3

ok thanks for the help

Answer 4

ya because the width of the pool would be 20 since 20 times 10=200

Answer 5

Translate this problem to an equation and solve.
The area of a patio is 72 square feet. The length of the patio is 1 foot longer than the width. What is the width of the patio?
feet

Answer 6

This patio problem is the same kind as the swimming pool problem
Can you give it a try ?

First, do you know a formula for the area of a rectangle ?
can you write it down ?

Answer 7

Area = ½ × b × h
b = base
h = vertical height

Answer 8

that is the area of a triangle (a triangle is ½ of a rectangle)
so make a note: review formulas for area of simple figures.

A= b*h
b= base (or length)
h= height (or width)

Answer 9

@ryanvarghese12790

Answer 10

now we look at the info they give us
The area of a patio is 72 square feet.

in A = L*W (let's use length times width)
where does the 72 go ?

Answer 11

AREA

Answer 12

yes, but write down the equation, with the 72 replacing the A

72 = L * W

Answer 13

1 ft is the length im guessing

Answer 14

The length of the patio is 1 foot longer than the width.

You have to interpret this statement.
we do it this way.. toss out irrelevant words... (like "the", etc)

length is 1 foot longer than width
change length to L (we use letters in algebra)

L is
"is" almost always means =
L = 1 foot longer
if you see 1 more than, or 1 bigger than, or 1 longer than, they get translated into 1+

L = 1+ width
change width to W

L = 1+W

Answer 15

so far we have
72 = L * W
L = 1+W

What is the width of the swimming pool?

That means you want to find W.

start with 72=L * W
replace the L with (1+W) because the 2nd equation tells you L= (1+W)
(notice we need the parens)

72= (1+W)W

can you solve this? or do you need more help?

Answer 16

i sort of get it but then i dont get it

Answer 17

The ideas do make sense, so you have to figure out what is confusing you, and get rid of the "bad idea" that keeps you from understanding.

Answer 18

72= (1+W)W

can you solve this? or do you need more help?

Answer 19

i need help but im get off right now but thanks for the help

Answer 20

The equation
72 = (1+W)W
is a quadratic... if you "distribute" the W you get
72 = W + W^2
rearrange into standard form you get
W^2 + W - 72 =0

you can factor this to find the two values of W. Only 1 is positive so that will be the answer.

See
http://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/solving-a-quadratic-by-factoring
for how to factor.