Todd and his brother robert are going to use 512 square feet of their backyard for skateboard ramps. the shape of the backyard is rectangular, with the length twice as long as the width. what are the dimensions of the backyard? which quadratic equation would be used to solve for the unknown dimensions?

The dimensions are ft by ft

The quadratic equation is

Step-by-step explanation:

we know that

the area of rectangle is equal to

where

L is the length side of rectangle

W is the width side of rectangle

in this problem

we have

so

-----> equation A

------> equation B

substitute equation B in equation A

Find the value of L

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

idk man good luck man