Question

Find the breadth of the rectangle from the following measurements. Is it a square?
l = 5 cm, A = 50 sq.cm

Answer 1

Answer:

No

Step-by-step explanation:

l = 5cm

A = 50 cm²

Area = L × B

50 = 5 × B

B = 50/5

B = 10cm

Property of a square : length = breadth

5cm is not equal to 10cm

Thus, it is not a square.

Answer 2

Required Solution :

Here, we are given measure of the length and area of the rectangle. We have to find its breadth.

As we know that,

★ Area of rectangle = Length × Breadth

As per the given question,

• Length = 5 cm
• Area = 50 cm²

Now, substitute the values we are given here.

→ 50 cm² = 5 cm × Breadth

→ $\sf \dfrac{50 \: cm^2}{5 \: cm }$ = Breadth

→ 10 cm = Breadth

Therefore, breadth of the rectangle is 10 cm.

Now, in the second part of the question we have been asked that is it a square or not. So, the answer is NO. This rectangle is not a square.

Reason : All the sides of a square are equal. But, here length is 5 cm and breadth is 10 cm , that means sides aren't equal . So, it is clear that it is not a square.

More Information :

★ Properties of squares :

1. All sides of a square are equal.
2. All the angles of square are of 90° or right angles.
3. Diagonals of a square bisect each other.
4. Diagonals are equal.

★ Properties of rectangles :

1. Only opposite sides of a rectangle are equal.
2. All the angles of square are of 90° or right angles.
3. Diagonals of a rectangle bisect each other.
4. Diagonals are equal.