Question

To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches. How many turnovers can be cut from a rectangular piece of dough 12 inches wide and 18 inches long?

Answer 1

24 turnovers can be cut from the rectangular piece of dough.

Explanation:

Given:

A rectangular piece of dough is 12 inches wide and 18 inches long.

To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches.

Now, to find the number of turnovers can be cut from the dough.

So, we find the area of the triangle the cook cuts from the dough by putting formula:

Base (b) = 6 inches.

Height (h) = 3 inches.

`Area=(hb)/(2) \\\\Area=(h* b)/(2) \\\\Area=(3* 6)/(2) \\\\Area=(18)/(2) \\\\Area=9\ inches^2.`

Thus, the area of the triangle cut from the dough is 9 inches².

Now, to get the area of rectangular piece of dough by putting formula:

Length = 18 inches.

Width = 12 inches.

`Area=length* width\\\\Area=18* 12\\\\Area=216\ inches^2.`

Hence, the area of the rectangular dough is 216 inches².

Now, to get the number of turnovers can be cut from the rectangular piece of dough we divide the area of the rectangular dough by the area of the triangle cut from the dough:

`(216)/(9) \\\\=24\ turnovers.`

Therefore, 24 turnovers can be cut from the rectangular piece of dough.