High School

1.3 The side length of a square with perimeter 9m.

2. Use the formula for the area of a rectangle: A = l × b to calculate the following:

2.1 The area, if the length is 3.5cm and the breadth is 2.5cm.

2.2 The length, if the area is 240cm² and the breadth is 8cm.

2.3 The breadth, if the area is 22cm² and the length is 5.5cm.

3. The formula that shows the relationship between distance/speed and time is given by s = v × t where s is the distance travelled, v is the average speed and t is the time. Use the formula to calculate the following:

3.1 The distance travelled if the speed is 110km/h and the time is 2.5 hours.

3.2 The average speed if the distance travelled is 260km and the time is 4 hours.

3.3 The time if the distance travelled is 150m and the average speed is 2.5m/sec.

Answer :

Let's solve each part of the question step by step:

1.3 The side length of a square with perimeter 9m:

To find the side length of a square when you know the perimeter, you can use the formula for the perimeter of a square:

[tex]P = 4s[/tex]

where [tex]P[/tex] is the perimeter and [tex]s[/tex] is the side length.

Given [tex]P = 9m[/tex], you can solve for [tex]s[/tex]:

[tex]s = \frac{P}{4} = \frac{9}{4} = 2.25m[/tex]

So, each side of the square is 2.25 meters long.


  1. Using the formula for the area of a rectangle: [tex]A = l \times b[/tex]:


2.1 The area, if the length is 3.5cm and the breadth is 2.5cm:

Substitute the given values into the formula:

[tex]A = 3.5 \times 2.5 = 8.75 \text{ cm}^2[/tex]

So, the area of the rectangle is 8.75 square centimeters.

2.2 The length, if the area is 240cm² and the breadth is 8cm:

Rearrange the formula to solve for the length [tex]l[/tex]:

[tex]l = \frac{A}{b} = \frac{240}{8} = 30 \text{ cm}[/tex]

So, the length of the rectangle is 30 centimeters.

2.3 The breadth, if the area is 22cm² and the length is 5.5cm:

Rearrange the formula to solve for the breadth [tex]b[/tex]:

[tex]b = \frac{A}{l} = \frac{22}{5.5} = 4 \text{ cm}[/tex]

So, the breadth of the rectangle is 4 centimeters.


  1. Using the formula [tex]s = v \times t[/tex] where [tex]s[/tex] is the distance traveled, [tex]v[/tex] is the average speed, and [tex]t[/tex] is the time:


3.1 The distance travelled if the speed is 110km/h and the time is 2.5 hours:

Substitute the given values into the formula:

[tex]s = v \times t = 110 \times 2.5 = 275 \text{ km}[/tex]

So, the distance traveled is 275 kilometers.

3.2 The average speed if the distance travelled is 260km and the time is 4 hours:

Rearrange the formula to solve for the average speed [tex]v[/tex]:

[tex]v = \frac{s}{t} = \frac{260}{4} = 65 \text{ km/h}[/tex]

So, the average speed is 65 kilometers per hour.

3.3 The time if the distance travelled is 150m and the average speed is 2.5m/sec:

Rearrange the formula to solve for time [tex]t[/tex]:

[tex]t = \frac{s}{v} = \frac{150}{2.5} = 60 \text{ seconds}[/tex]

So, the time taken to travel 150 meters is 60 seconds.

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