I'm trying to pass my performance task and finish high school and I have no idea what it really is asking me to do, rather how to do it. A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular. The city will pay to have soft pavement made of recycled tires installed in the playground. In the first plan, one side 8 yards longer than the other side. Which equations model the possible dimensions of the playground? x(x - 8) = 256. (x2) - 8 = 256 x(x + 8) = 256. (x + 4)(x - 4) = 256. x2- 8x - 256 = 0.

x

8

−

256

Rewrite  

x

8

as  

(

x

4

)

2

.

(

x

4

)

2

−

256

Rewrite  

256

as  

16

2

.

(

x

4

)

2

−

16

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

x

4

and  

b

=

16

.

(

x

4

+

16

)

(

x

4

−

16

)

Simplify.

Tap for more steps...

(

x

4

+

16

)

(

x

2

+

4

)

(

x

+

2

)

(

x

−

2

)

Step-by-step explanation:

its 69.420

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584