Question

If the area of rectangle is 124cm² and breadth is 4 CM, find the length.

Answer 1

Before, finding the answer. Lets find out on how we can find the answer.

• To find the Length, we must use the formula of :

$\sf Length = \dfrac{Area}{Breadth }$

____________________

Given :

• Area of Rectangle = 124 cm²
• Breadth = 4 cm

To find :

Length of Rectangle

Solution :

We know that,

$\sf Length = \dfrac{Area}{Breadth }$

So,

$\sf Length = \dfrac{124}{4 }$

$\sf = 31 \:$

Hence, the Length of Rectangle is 31 cm.

Verification :

Area of Rectangle = l × b

124 cm² = 31 × 4 cm²

124 cm = 124 cm²

.°. L.H.S = R.H.S

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Know more :

• Area of Rectangle = l × b
• Perimeter of Rectangle = (2 × l) + (2 × b)

Answer 2

ANSWER :

• ★ If the Area of a rectangle is 124 sq. cm and its Breadth is 4 cm, then the Length of the rectangle = 31 cm.

$\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

SOLUTION :

❖ Given :-

• Area of the rectangle = 124 sq. cm

• Breadth of the rectangle = 4 cm

❖ To Find :-

• Length of the rectangle = ?

❖ Required Formula :-

$\bigstar \: \boxed{ \bold{Area \: \: of \: \: a \: \: rectangle = Length \times Width}}$

❖ Calculation :-

$\bigstar \: \: \sf{Area \: \: of \: \: the \: \: rectangle = Length \times Breadth} \\ \\ \sf{ \large{ \implies \: 124 = Length \times 4}} \\ \\ \sf{ \large{ \implies \: Length = \dfrac{124}{4}}} \: \: \: \: \\ \\ \sf{ \large{ \therefore \: \: \underline{ \: Length = 31 \: }}}$

• Hence, Length of the rectangle = 31 cm.

$\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

VERIFICATION :

❖ We have :-

• Area = 124 sq. cm

• Length = 31 cm

• Breadth = 4 cm

❖ To Verify :-

• Length × Breadth = Area

Now,

• ➛ Length × Breadth = 31 cm × 4 cm = 124 sq. cm

Again,

• ➛ Area = 124 sq. cm

$\: \: \: \: \: \bigstar \: \: \: \: \boxed{ \sf{ \large{ \therefore \: \: Length \times Breadth = Area}}}$

• Hence Verified.

$\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

KNOW MORE :

➤ Rectangle :-

• A rectangle is a plane figure which has four sides and four angles. Each of the four angles are right angles, i.e, 90°. Again, the opposite sides of a rectangle are of equal length and parallel.

• A rectangle is or a quadrilateral which opposite sides are equal and parallel to each other and each of the four angles is a right angle.

➤ Related Formulas :-

• Area of a rectangle = Length × Breadth

• Perimeter of a rectangle = 2 (Length + Breadth)