QuestionCalculate the area and perimeter of a rectangle with length $\frac{7}{30}$ inch and width $\frac{7}{10}$ inch.

Studdy Solution

STEP 1

Assumptions1. The length of the rectangle is $\frac{7}{30}$ inch. The width of the rectangle is $\frac{7}{10}$ inch3. The area of a rectangle is calculated by multiplying the length by the width4. The perimeter of a rectangle is calculated by adding twice the length and twice the width

STEP 2

First, we will find the area of the rectangle. We can do this by multiplying the length by the width.
$Area = Length \times Width$

STEP 3

Now, plug in the given values for the length and width to calculate the area.
$Area = \frac{7}{30} \times \frac{7}{10}$

STEP 4

Calculate the area of the rectangle.
$Area = \frac{7}{30} \times \frac{7}{10} = \frac{49}{300}$

STEP 5

Next, we will find the perimeter of the rectangle. We can do this by adding twice the length and twice the width.
$Perimeter =2 \times Length +2 \times Width$

STEP 6

Now, plug in the given values for the length and width to calculate the perimeter.
$Perimeter =2 \times \frac{}{30} +2 \times \frac{}{10}$

STEP 7

Calculate the perimeter of the rectangle.
$Perimeter =2 \times \frac{7}{30} +2 \times \frac{7}{10} = \frac{28}{30} + \frac{14}{10} = \frac{14}{15} + \frac{7}{5} = \frac{98}{75} + \frac{105}{75} = \frac{203}{75}$ The area of the rectangle is $\frac{49}{300}$ square inches and the perimeter is $\frac{203}{75}$ inches.

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