Question

The area of a rectangular field is 1147/4 sq.m. if the length of the field is 37/2m,find the breadth of the field

Answer 1

GIVEN:

• The area of a rectangular field is 1147/4 m²
• If the length of the field is 37/2m.

TO FIND:

• What is the breadth of the rectangular field ?

SOLUTION:

Let the breadth of the rectangular field be 'b' m

We know that the formula for finding the area of the rectangular field is:-

$\large{\boxed{\bf{\star \: AREA = Length \times Breadth \: \star}}}$

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow \dfrac{1147}{4} = \dfrac{37}{2} \times b }$

$\rm{\dashrightarrow \dfrac{1147}{4} \times \dfrac{2}{37} = b }$

$\rm{\dashrightarrow \cancel\dfrac{2294}{148} = b }$

$\bf{\dashrightarrow 15.5 \: m = b }$

• Breadth = b = 15.5 m

❝ Hence, the breadth of the rectangular field is 15.5 m ❞

______________________

VERIFICATION:

➾ $\bf{ \dfrac{1147}{4} = \dfrac{37}{2} \times 15.5}$

➾ $\bf{ \cancel\dfrac{1147}{4} = \cancel\dfrac{573.5}{2}}$

➾ $\bf{ 286.75 = 286.75 }$

$\rm{[L.H.S = R.H.S]}$

VERIFIED...