Question

You and your friends decide to camp for one night. Look at the diagram of your tent below. It is drawn on 1 cm squared paper. The scale is 1 cm : 0.25 m

What are the dimensions of the tent’s porch area in metres?

m multiplied by
m

The dimension of a sleeping bag and ground mat is 2 m x 1 m. Each sleeping bag and ground mat must be 0.25 metres away from the edge of the tent.
How many people can sleep in the tent?
people

Answer 1

Answer: Area of porch in metres
`= 2.5 m^(2)`

No. of people that can sleep in the tent = 0 (according to the given conditions)

Explanation:

In the given figure we have the scale of 1 cm : 0.25 m which denotes that we have 0.25 m length in actual for every 1 cm on the figure. Also, each square in the figure measures 1 cm on each side.

From the fig. the dimensions of tent porch area are:

Length = 10 cm =
`10 * 0.25`

`= 2.5 m` on ground

Breadth= 4 cm =
`4 * 0.25`

`= 1 m` on ground

∴ Area of porch in metres =
`1* 2.5`

Area of porch in metres
`= 2.5 m^(2)`

• From the attached image it is visible that we cannot place any mat and sleeping bag of the given dimensions inside the tent satisfying the given condition of keeping the ground mat 0.25 metres away from the edge of the tent.

Answer 2

1.Area of Porch =2.5m²

2.Number of people =3 people

Explanation:

The porch area from the diagram has a dimension of 4 units by 10 units

One units =1cm

Thus the porch is drawn with dimensions of 4cm by 10 cm

Taking length is 10 cm and width as 4 cm, convert these dimensions according to the scale.

The scale is 1cm=0.25m

The width will be= 0.25×4=1 m

The length will be=0.25×10= 2.5m

Area of the porch is given by the formula;

length×width because its has a shape of a rectangle

Area of porch will be

=1m ×2.5m =2.5m²

2.

Find the dimensions of the tent

14 units by 10 units

Applying the scale on the dimensions by multiplying by 0.25

14×0.25=3.5m

10×0.25=2.5m

Width=2.5m

length=3.5m

Subtract the edge distance on both the length and width

Length will be=3.5-(0.25×2)=3.0m

Width will be=2.5-(0.25×2)=2.0m

Find the area remaining to be covered by the people while sleeping

=3.0×2.0=6m²

Area covered by sleeping bag and a ground mat

2m×1m=2m²

Number of people that can sleep in the tent

6m²÷2m²=3 people