Q40. - Algebra 2

Question

WOODWORKING A stage crew is making the set for a children’s play. They want to make some gingerbread shapes out of some leftover squares of wood with sides measuring 1 foot. They can make taller shapes by cutting them out of the wood diagonally. To the nearest inch, how tall is the gingerbread shape in the drawing at the right?

Step-by-Step Solution

Answer

The length of the gingerbread shape is 14 feet 2 inches approx.

Step 1 .Given

A stage crew is making the set for a children’s play. They want to make some gingerbread shapes out of some leftover squares of wood with sides measuring 1 foot. They can make taller shapes by cutting them out of the wood diagonally.

The given image is:

Step 2. To determine

To the nearest inch, how tall is the gingerbread shape in the drawing at the right?

Step 3.Calculation

From the graph: The distance between the x-coordinates is 10 units and the distance between the y-coordinates is 10 units.

So, using the distance formula the length of the gingerbread shape is:

$\sqrt{{10}^2+{10}^2}=\sqrt{100+100}=\sqrt{200}=14.14$units.

Given, 1 unit = 1 foot.

So, 14.14 units = 14.14 feet.

 

The length of the gingerbread shape is 14.14 feet = 14 feet 2 inches approx.