Chapter 8.2, Problem 3GP

a.

To determine

To find: How much fabric does she need in square inches.

Answer to Problem 3GP

Amount of fabric kachima need $=60$ square inches

Explanation of Solution

Given information:

Length of the collar be $l$

Base of the bandana $=l+4+4$

Height $=\frac{l}{2}$

  $l=12$

Given

  $l=12$

Using that

We get

Base $=12+4+4=20$

Height $=\frac{12}{2}=6$

Therefore,

Area of the triangle $=\frac{1}{2}\times 20\times 6$

On solving

We get

Area of the triangle $=60$ square inches

Therefore,

Amount of fabric kachima need $=60$ square inches

b.

To determine

To find: How much fabric does she need in square inches.

Answer to Problem 3GP

Amount of fabric kachima need $=21$ square inches

Explanation of Solution

Given information:

Length of the collar be $l$

Base of the bandana $=l+4+4$

Height $=\frac{l}{2}$

  $l=12$

Given

  $l=6$

Using that

We get

Base $=6+4+4=14$

Height $=\frac{6}{2}=3$

Therefore,

Area of the triangle $=\frac{1}{2}\times 14\times 3$

On solving

We get

Area of the triangle $=21$ square inches

Therefore,

Amount of fabric kachima need $=21$ square inches