Area of a Deltoid: Finding Area based off Perimeter and Vice Versa

The kite ABCD has an area of 36cm².

What is its perimeter?

$10+2\sqrt{73}$ cm

The perimeter of the deltoid ABCD shown below is 30 cm².

Calculate its area.

$3\sqrt{91}$ cm²

What is its perimeter of the deltoid ABCD if its area is 16cm²?

$2\sqrt{13}+2\sqrt{29}$ cm

Kite ABCD has an area of 40cm².

What is its perimeter?

$10+2\sqrt{65}$ cm

The deltoid ABCD shown below has an area of 35cm².

What is its perimeter?

$2\sqrt{106}+2\sqrt{29}$ cm

If the area of the rhombus ABCD is $4a^2$ $cm^2$, what is its perimeter?

$2a(\sqrt{2}+\sqrt{10})$

Deltoid ABCD has an area of 48 cm², while the area of the triangle ABC is 54 cm².

What is the perimeter of the deltoid?

$6\sqrt{13}+2\sqrt{37}$ cm

Deltoid ABCD has an area of $b^2$ cm².

What is its perimeter?

$2b(\sqrt{2}+\sqrt{5})$

Deltoid ABCD has a perimeter equal to 24 cm.

Calculate the area of the deltoid, given that the secondary diagonal is 5 cm long.

$\frac{5}{4}(\sqrt{11}+\sqrt{299})$ cm²

The deltoid ABCD has a perimeter of 18 cm.

$BD=4$

Calculate the area of the deltoid.

$8\sqrt{2}-2\sqrt{5}$ cm²

The deltoid ABCD has a perimeter equal to 34 cm.

$AC=12$

Calculate the area of the deltoid.

$48-6\sqrt{13}$ cm²

The deltoid ABCD has an area of 18cm².

What is its perimeter?

$18+6\sqrt{10-2\sqrt{5}}$cm

The deltoid ABCD has an area equal to 90 cm².

If the area of the triangle BCD is equal to 18 cm², then what is the perimeter of the deltoid?

$30+2\sqrt{85}$

The deltoid ABCD shown below has a perimeter of $\sqrt{193}+\sqrt{113}$ cm.

Calculate its area.

$35$ cm²

The deltoid ABCD has a perimeter of 44 cm.

Calculate its area.

$7\sqrt{95}+5\sqrt{19}$ cm²

Look at the deltoid ABCD below.

$2AB=BC$

Calculate the area of the deltoid given that its perimeter is 72 cm.

$20\sqrt{11}+4\sqrt{1463}$ cm²

The perimeter of deltoid ABCD is equal to 20 cm.

$AC=\sqrt{41}-1$

Calculate the area of the deltoid.

$\sqrt{328}$ cm²

The perimeter of the deltoid ABCD is equal to $5x$.

$BD=4$

Express the area of the deltoid in terms of X.

$2\sqrt{x^2-4}+2\sqrt{2.25x^2-4}$ cm²

The deltoid ABCD is shown below.

$BC=\frac{1}{3}CD$

The perimeter of the deltoid is equal to 24 cm.

$BD=\sqrt{77}-\sqrt{5}$

Calculate the area of the deltoid.

$2\sqrt{77}-2\sqrt{5}$ cm²