QuestionCalculate the area and perimeter of a rectangle with sides $\frac{5}{8}$ inch and $\frac{3}{4}$ inch. Simplify your answer.

Studdy Solution

STEP 1

Assumptions1. The length of the rectangle is $\frac{5}{8}$ inch. The width of the rectangle is $\frac{3}{4}$ 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 need to 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.
$Area = \frac{5}{8} \\times \frac{3}{}$

STEP 4

Calculate the area of the rectangle.
$Area = \frac{}{8} \\times \frac{3}{4} = \frac{15}{32}$

STEP 5

Next, we need to find the perimeter of the rectangle. We can do this by adding twice the length and twice the width.
$Perimeter =2(Length + Width)$

STEP 6

Plug in the given values for the length and width to calculate the perimeter.
$Perimeter =2\left(\frac{5}{8} + \frac{3}{4}\right)$

STEP 7

Before calculating the perimeter, simplify the expression inside the parentheses.
$\frac{5}{} + \frac{3}{4} = \frac{5}{} + \frac{6}{} = \frac{11}{}$

STEP 8

Now, calculate the perimeter of the rectangle.
$Perimeter =2 \times \frac{11}{8} = \frac{22}{8} = \frac{11}{4} =2\frac{3}{4}$ So, the area of the rectangle is $\frac{15}{32}$ square inches and the perimeter is $2\frac{3}{4}$ inches.

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