Question

1. jason is preparing his garden for the winter. he will be constructing a rectangular fence around the garden and placing a tarp over the ground inside the fence to protect the soil over the winter. the fence will have consecutive vertices at (4, 3), (4, 11), (8, 11), and (8, 3). if each unit represents one foot, how many feet of fencing will he need to surround the garden? what is the area of the ground that will be covered by the tarp? (example 2)

Explanation:

Step1: Find length of vertical side

Subtract y-coordinates: $11 - 3 = 8$ feet

Step2: Find length of horizontal side

Subtract x-coordinates: $8 - 4 = 4$ feet

Step3: Calculate perimeter (fencing length)

Use rectangle perimeter formula: $2\times(\text{length}+\text{width}) = 2\times(8+4) = 24$ feet

Step4: Calculate area (tarp area)

Use rectangle area formula: $\text{length}\times\text{width} = 8\times4 = 32$ square feet

Answer:

He will need 24 feet of fencing. The area of the ground covered by the tarp is 32 square feet.