The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th

Question

Snowcat [4.5K]

3 years ago

7

The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th

e playground

Mathematics

2 answers:

kondaur [170] · Answer 1 · 2022-06-09T08:37:35+03:00

L=16
W=21

Set up a systems of equations:
x=length
y=width

xy=336
x+5=y

Use substitution to solve:
x(x+5)=336
x^2+5x=336

Solve using factoring:
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21
Since length can't be negative, l=16

To find width, plug length into the first equation:
(16)y=336
y=21

So...
L=16
W=21

fredd [130] · Answer 2 · 2022-06-09T09:52:22+03:00

L=16

W=21

Set up a systems of equations:

x=length

y=width

xy=336

x+5=y

Use substitution to solve:

x(x+5)=336

x^2+5x=336

Solve using factoring:

x^2+5x-336=0

(x-16)(x+21)=0

x=16 and x= -21

Since length can't be negative, l=16

To find width, plug length into the first equation:

(16)y=336

y=21

So...

L=16

W=21