Jack is mowing a lawn that has a shed, Find the area of the lawn that jack has to mow.

The dimensions of the yard are 12x - 6 long and 7x wide.

The dimensions of the shed are 2x + 4 long and 4x wide.

Find a polynomial that describes the area of the lawn that needs to be mowed.

Step 1: Find the area of the lawn.

Step 2: Find the area of the shed.

Step 3: Find the area of the lawn by subtracting the shed area from the yard area.

76x^2 - 58x

Step-by-step explanation:

Area of the Yard: 7x(12x-6) = 84x^2-42x

Area of the Shed: 4x(2x+4) = 8x^2+16x

Area of the Lawn: 84x^2-42x -(8x^2+16x) = (84x^2-8x^2) + (-42x-16x) =

76x^2 - 58x

i think 1: 2

step-by-step explanation:

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