A customer decides to build a fence around the backyard. The yard is rectangular, and with the house an equal distance from both property lines. As a result, the fence will have five sections. The short sections, connecting to the house, are each 10 feet in length. The yard then has a depth of 65 feet with a width of 80 feet. How much fencing is needed?

D). 290 feet

Step-by-step explanation:

Length of the yard = 65 feet

Width of the yard = 80feet

The Perimeter of the yard = 2(l + b)

                                           = 2 * (65 + 80)

                                            = 2 * 145

                                             = 290 feet

∵ Fencing required = 290 feet

Thus, option A is the correct answer.

geometry: triangles

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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

1.30

step-by-step explanation: