Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and area of the rug? (height 31 inches width 9 inches)

Respuesta :

Answer:

[tex]Width = 20\ in[/tex]

[tex]Area = 400\ in^2[/tex]

Step-by-step explanation:

Given

See attachment for kite dimension

Required

Determine the width and the area

From the attachment, the height of the kite is:

[tex]Height = 31\ in + 9\ in[/tex]

[tex]Height = 40\ in[/tex]

The width which is half the height is:

[tex]Width = \frac{1}{2} * Height[/tex]

[tex]Width = \frac{1}{2} * 40\ in[/tex]

[tex]Width = 20\ in[/tex]

The area is:

[tex]Area = \frac{Height * Width}{2}[/tex]

[tex]Area = \frac{40\ in * 20\ in}{2}[/tex]

[tex]Area = 40\ in * 10\ in[/tex]

[tex]Area = 400\ in^2[/tex]

Ver imagen MrRoyal