Solved on Nov 24, 2023

Find the perimeter and area of a parallelogram with sides of length 4.54.5 feet and 99 feet, and distance between 99-foot sides of 0.80.8 foot.

STEP 1

Assumptions1. The sides of the parallelogram are4.5 feet and9 feet. The distance between the9-foot sides is0.8 foot3. We are asked to find both the perimeter and the area of the parallelogram

STEP 2

First, let's find the perimeter of the parallelogram. The perimeter of a parallelogram is given by the formulaPerimeter=2×(length+width)Perimeter =2 \times (length + width)

STEP 3

Now, plug in the given values for the length and width to calculate the perimeter.
Perimeter=2×(.5feet+9feet)Perimeter =2 \times (.5\, feet +9\, feet)

STEP 4

Calculate the perimeter of the parallelogram.
Perimeter=2×(4.feet+9feet)=27feetPerimeter =2 \times (4.\, feet +9\, feet) =27\, feet

STEP 5

Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formulaArea=base×heightArea = base \times height

STEP 6

In this problem, the base is one of the9-foot sides and the height is the distance between the9-foot sides, which is0.8 foot. Plug in these values to calculate the area.
Area=9feet×0.8footArea =9\, feet \times0.8\, foot

STEP 7

Calculate the area of the parallelogram.
Area=9feet×0.foot=7.2squarefeetArea =9\, feet \times0.\, foot =7.2\, square\, feetSo, the perimeter of the parallelogram is27 feet and the area is7.2 square feet.

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