The rectangle shown has a length of 4x+3 and a width of 3x. Show your work. (3 points) Find the perimeter. Find the area. Find the p

Question

The rectangle shown has a length of 4x+3 and a width of 3x. Show your work. (3 points) Find the perimeter. Find the area. Find the perimeter and area if x = 8. *URGENT 20 POINTS*

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Liliana 2 weeks 2021-09-08T22:57:14+00:00 1 Answer 0

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    2021-09-08T22:58:34+00:00

    We have been given that the rectangle has a length of 4x+3 and width of 3x. We are asked to find the area and perimeter of the rectangle, when x=8.

    We know that perimeter of rectangle is 2 times sum of length and width.

    \text{Perimeter}=2\times (\text{Length}+\text{Width})

    \text{Perimeter}=2\times (4x+3+3x)

    \text{Perimeter}=2\times (7x+3)

    \text{Perimeter}=2\times (7(8)+3)

    \text{Perimeter}=2\times (56+3)

    \text{Perimeter}=2\times (59)

    \text{Perimeter}=118

    Therefore, the perimeter of the rectangle is 118 units.

    We know that area of rectangle is width times length.

    \text{Area}=\text{Length}\times \text{Width}

    \text{Area}=(4x+3)\times 3x

    \text{Area}=12x^2+9x

    \text{Area}=12(8)^2+9(8)

    \text{Area}=12(64)+72

    \text{Area}=768+72

    \text{Area}=840

    Therefore, the area of the rectangle is 840 square units.

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45:7+7-4:2-5:5*4+35:2 =? ( )