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.

Question

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Respuesta :

darshzibbu darshzibbu · Answer 1 · 2021-01-24T02:37:27+01:00

Answer:

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

Answer Link

codiepienagoya codiepienagoya · Answer 2 · 2021-08-06T12:40:29+02:00

The answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]", and the further calculation steps can be defined as follows:

For step 1:

Calculating the lawn area:

[tex]\to \bold{7x (12x -6) = 84x^2 - 42x}[/tex]

For step 2:

Calculating the shed area:

[tex]\to \bold{4x( 2x + 4) = 8x^2 + 16x}[/tex]

For step 3:

Calculating the lawn area by subtracting the area of the shed from the area of the yard:

[tex]\to\bold{ 7x (12x -6) - (4x(2x+4))}\\\\\to\bold{ 84x^2-42x -(8x^2+16x)}\\\\\to\bold{ 84x^2-42x -8x^2-16x}\\\\\to\bold{ 76x^2-58x}\\\\[/tex]

So, the final answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]".

Learn more:

Area calculator: brainly.com/question/22951582