Find the breadth of the rectangle from the following measurements. Is

1.	Find the breadth of the rectangle from the following measurements. Is it a square? l = 5 cm, A = 50 sq.cm
Answer» 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 : All sides of a square are equal. All the angles of square are of 90° or right angles. Diagonals of a square bisect each other. Diagonals are equal. ★ Properties of rectangles : Only opposite sides of a rectangle are equal. All the angles of square are of 90° or right angles. Diagonals of a rectangle bisect each other. Diagonals are equal.

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

Answer»

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 :

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

★ Properties of rectangles :

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