ACT Math - How to find the perimeter of kite

A kite has a side length of and another side length of . Find the perimeter of the kite.

Explanation

By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side with a length of , each of these two sides must have one equivalent side.

The perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property:

A kite has a side length of $\frac{3}{4} \textup{feet}$ and another side length of $\frac{1}{3}\textup{feet}$ . Find the perimeter of the kite.

$26\textup{ inches}$

$24\textup{ inches}$

$13\textup{ inches}$

$17\textup{ inches}$

$9\textup{ inches}$

Explanation

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of $\frac{3}{4}\textup{feet}$ and another side with a length of $\frac{1}{3}\textup{feet}$ , each of these two sides must have one equivalent side.

The perimeter of this kite can be found by applying the formula:

Additionally, this problem first requires you to convert each side length from feet to inches.

$\frac{3}{4}\textup{ft}=\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}=9\textup{ inches}$

$\frac{1}{3}\textup{ft}=\frac{1}{3}\times \frac{4}{4}=\frac{4}{12}=4\textup{ inches}$

The solution is:

Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property:

A kite has a side length of and another side length of . Find the perimeter of the kite.

Explanation

The perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

Kite vt act

Using the kite shown above, find the perimeter measurement.

Explanation

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side length of , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

A kite has a side length of $15\textup{ inches}$ and another side length of $30\textup{ inches}$ . Find the perimeter of the kite.

$7.5\textup{ feet}$

$87\textup{ inches}$

$45\textup{ inches}$

$90 \textup{ cm}$

$12\textup{ feet}$

Explanation

The perimeter of this kite can be found by applying the formula:

$p=2(45)=90\textup{ inches}$

Note, though, that $90\textup{ inches}$ does not appear as an answer choice. Thus, convert $90\textup{ inches}$ into $\textup{feet}$ by: $90\div12=7.5\textup{ feet}$

If the short side of a kite has a length of , and the long side of a kite has a length of , what is the perimeter of the kite?

Explanation

Write the formula to find the perimeter of the kite.

Substitute the lengths and solve for the perimeter.

Kite vt act

Using the kite shown above, find the perimeter measurement.

Explanation

Additionally, the correct solution can also be found by:

A kite has a side length of $88\textup{mm}$ and another side length of $36\textup{mm}$ . Find the perimeter of the kite.

$248\textup{mm}$

$176\textup{mm}$

$209\textup{mm}$

$209\textup{cm}$

$264\textup{mm}$

Explanation

a kite must have two sets of equivalent sides. Since we know that this kite has a side length of $88\textup{mm}$ and another side with a length of $36\textup{mm}$ , each of these two sides must have one equivalent side.

The perimeter of this kite can be found by applying the formula:

$p=2(124)=248\textup{mm}$

Note: the correct solution can also be found by:

Kite vt act

Using the kite shown above, find the perimeter measurement.

Explanation

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side length of $\frac{35}{2}=17.5$ , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

A kite has a side length of $12\textup{cm}$ and another side length of $16\textup{cm}$ . Find the perimeter of the kite.

$56\textup{cm}$

$90\textup{cm}$

$96\textup{in}$

$60\textup{cm}$

$24\textup{cm}$

Explanation

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side length of , each of these two sides must have one equivalent side.