How to find the perimeter of a rhombus

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ACT Math › How to find the perimeter of a rhombus

Questions 1 - 3

1

If a side length of a rhombus is half, what is the perimeter of the rhombus?

$\frac{\sqrt2}{2}$

$\frac{1}{8}$

Explanation

Write the formula to find the perimeter of a rhombus.

Substitute the side length and simplify.

$P=4(\frac{1}{2})=2$

2

Find the perimeter of a rhombus if the side length is .

Explanation

Write the formula to find the perimeter of a rhombus.

Substitute the side length and solve.

3

If the side length of a rhombus is $\frac{11}{8}a+\frac{1}{2}b$ , what is the perimeter?

$\frac{11}{2}a+2b$

$\frac{32}{11}a+\frac{1}{8}b$

$\frac{11}{8}a^4+\frac{1}{2}b^4$

$\frac{11}{8}a^2+\frac{1}{2}b^2$

Explanation

Write the formula for the perimeter of a rhombus.

Substitute the side length and solve for the perimeter.

$P=4\left(\frac{11}{8}a+\frac{1}{2}b\right) = \frac{11}{2}a+2b$

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