Question

QB2⟩⟩ For a project in Home Economics class, Clara is making a tablecloth for a circular table 3 feet in diameter. The finished tablecloth needs to hang down 5 inches over the edge of the table all the way around. To finish the edge of the tablecloth, Clara will fold under and sew down 1 inch of the material all around the edge. Clara is going to use a single piece of rectangular fabric that is 60 inches wide. What is the shortest length of fabric, in inches, Clara could use to make the tablecloth without putting any separate pieces of fabric together?

(a) 15
(b) 24
(c) 30
(d) 42
(e) 48​

Answer 1

Given :-

• Clara is making a tablecloth for a circular table 3 feet in diameter.

• The finished tablecloth needs to hang down 5 inches over the edge of the table all the way around.

• To finish the edge of the tablecloth, Clara will fold under and sew down 1 inch of the material all around the edge.

• Clara is going to use a single piece of rectangular fabric that is 60 inches wide.

To Find :-

• What is the shortest length of fabric, in inches, Clara could use to make the tablecloth without putting any separate pieces of fabric together?

Solution :-

We know that,

$\rm :\longmapsto\:1 \: feet \: = \: 12 \: inches$

So,

$\red{\bf :\longmapsto\:3 \: feet \: = \: 36 \: inches}$

Step :- 1

• The diameter of circular table = 3 feet = 36 inches.

Step :- 2

• The finished table cloth to be hang down 5 inches over the edge of the table all the way around

• It implies, we required to need a circular cloth which is 5 inches hanging out of its edge.

Step :- 3

• To finish the edge of the table cloth, Clara will fold under and sew down 1 inch of material all around the edge

Step :- 4

• Clara is going to use a singe piece of rectangular fabric that is 60 inches wide

Hence,

We have to make a circular table from this rectangular piece which is 60 inches wide and have to find shortest length of fabric.

So to cut out the circular table cloth,

We need to keep in mind the step 1, step 2 and step 3.

That is, Diameter of table, hanging and sewing.

Hence,

Minimum length of the cloth will be

= 36 inches + 5 inches + 5 inches + 1 inches + 1 inches

= 48 inches

Hence,

The minimum length of rectangular shaped fabric should be 48 inches.

Hence,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf{ \: Option \: (e) \: is \: correct}}$

Answer 2

Step-by-step explanation:

Given :-

Clara is making a tablecloth for a circular table 3 feet in diameter.

The finished tablecloth needs to hang down 5 inches over the edge of the table all the way around.

To finish the edge of the tablecloth, Clara will fold under and sew down 1 inch of the material all around the edge.

Clara is going to use a single piece of rectangular fabric that is 60 inches wide.

To Find :-

What is the shortest length of fabric, in inches, Clara could use to make the tablecloth without putting any separate pieces of fabric together?

Solution :-

We know that,

\rm :\longmapsto\:1 \: feet \: = \: 12 \: inches:⟼1feet=12inches

So,

\red{\bf :\longmapsto\:3 \: feet \: = \: 36 \: inches}:⟼3feet=36inches

Step :- 1

The diameter of circular table = 3 feet = 36 inches.

Step :- 2

The finished table cloth to be hang down 5 inches over the edge of the table all the way around

It implies, we required to need a circular cloth which is 5 inches hanging out of its edge.

Step :- 3

To finish the edge of the table cloth, Clara will fold under and sew down 1 inch of material all around the edge

Step :- 4

Clara is going to use a singe piece of rectangular fabric that is 60 inches wide

Hence,

We have to make a circular table from this rectangular piece which is 60 inches wide and have to find shortest length of fabric.

So to cut out the circular table cloth,

We need to keep in mind the step 1, step 2 and step 3.

That is, Diameter of table, hanging and sewing.

Hence,

Minimum length of the cloth will be

= 36 inches + 5 inches + 5 inches + 1 inches + 1 inches

= 48 inches

Hence,

The minimum length of rectangular shaped fabric should be 48 inches.

Hence,

\: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf{ \: Option \: (e) \: is \: correct}}

Option(e)iscorrect