Area of a Deltoid: Using additional geometric shapes

In a rectangular shopping mall they want to place a deltoid-shaped stage.

The length of the rectangle is 30 meters and the width 20 meters.

What is the area of the orange scenario?

300 m

In an amusement park with a rectangle shape, they decided to place part of the floor of its surface (referring to the shape of the deltoid).

The length of the tile is 3 meter and its width 2 meter.

The length of the garden is 10 meters and its width 6 meters.

Calculate how many tiles you will need to use to complete the deltoid shape.

5

Below is a deltoid with a length 2 times its width and an area equal to 16 cm².

Calculate x.

$x=4$

Given ABCD deltoid AB=AC DC=BD

The diagonals of the deltoid intersect at the point O

Given in cm AO=12 OD=4

The area of the deltoid is equal to 48 cm².

Calculate the side CD

5 cm

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

Calculate its area.

$3\sqrt{91}$ cm²

Given the deltoid ABCD

and the deltoid AFCE whose area is 20 cm².

The ratio between AO and OC is 1:3

the angle ADC⦠. is equal to the angle ACD⦠.

AD is equal to 8

Calculate the area of the triangle CEF

15 cm²

Given the deltoid ABCD and the circle that its center O on the diagonal BC

Area of the deltoid 28 cm² AD=4

What is the area of the circle?

$49\pi$ cm².

ABCD is a deltoid, EFBD is a square whose area is 25 cm²

Given that GC is equal to 7 cm

Calculate the area of the deltoid.

30 cm²

ABCD is a kite.

AB = AD

ABD has an area of 30 cm².
EC is equal to 6 cm.
AE is equal to 5 cm.

Calculate the area of the kite.

66 cm²

ABCD is a kite.

O is the center of the circle whose diameter is DE and which has an area of $36\pi$ cm².

The area of a circle whose radius is AE is 5 times greater than the area of the circle O.

$EC=\frac{3}{2}AE$

Calculate the area of the kite.

$180\sqrt{5}$ cm²

ABCD is a kite

ABED is a trapezoid with an area of 22 cm².

AC is 6 cm long.

Calculate the area of the kite.

$6\sqrt{13}$ cm²

Given ABCD deltoid AB=BC DA=DC

The diagonals of the deltoid intersect at the point O

Given in cm BO=7 OC=4 AD=5

Calculate the area of the deltoid

40 cm²

ABCD is a kite.

BC is the radius of a circle with an area of $4\pi$ cm.

Calculate the area of the kite.

$3\sqrt{3}$ cm²

ABCD is a parallelogram and BCEF is a kite.

$EG=2$

$GC=3$

Calculate the area of the kite

$18\sqrt{2}-6$ cm²

ABCD is a kite.

The area of triangle BCD is equal to 20 cm².

Calculate the area of the kite.

32 cm²

Given the triangle ABC and the deltoid ADEF

The height of the triangle is 4 cm

The base of the triangle is greater by 2 than the height of the triangle.

Segment FD cut to the middle

Calculate the area of the deltoid ADEF

8 cm²

ABCD is a deltoid with an area of 58 cm².

DB = 4

AE = 3

What is the ratio between the circles that have diameters formed by AE and and EC?

3:26

ABCD is a kite.

BD is the diagonal of a square that has an area equal to 36 cm².

$AC=2x$

Express the area of the kite in terms of X.

$6\sqrt{2}x$ cm²

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 perimeter of deltoid ABCD is equal to 20 cm.

$AC=\sqrt{41}-1$

Calculate the area of the deltoid.

$\sqrt{328}$ cm²