Question

the length of a rectangular field is 100m.if it's perimeter is 300m.what is it's breadth​

Answer 1

✧ Given :

• Length of rectangular field is 100 m.
• Perimeter of rectangular field is 300 m.

✧ To Find :

• Breadth of rectangular field ?

✧ Solution :

• We know that,

$\large\star{ \underline{\boxed{\sf{\pink{ perimeter _{(rectangle)} = 2(Length + Breadth)}}}}}⋆⋆$

• Now, Substitute the values :

$➟ \: { \sf{300 = 2(100 + b)}}$

$➟ \: { \sf{300 = 2 \times 100 + 2 \times b}}$

$➟ \: { \sf{300 = 200 + 2b}}$

$➟ \: { \sf{300 - 200 = 2b}}$

$➟ \: { \sf{100 = 2b}}$

$➟ \: { \sf{ \cancel\frac{100}{2} = b}}$

$➟ \: { \blue{ \boxed{ \sf{50 \: m \: = b}}}}$

◙ Hence, The breadth of rectangular field is 50 m.

${ \underline{ \sf{Verification :}}}$

$\large\star{ \underline{\boxed{\sf{\green{ perimeter _{(rectangle)} = 2(Length + Breadth)}}}}}⋆⋆$

• Now, substitute the values :

$➟ \: { \sf{300 = 2(100 + 50)}}$

$➟ \: { \sf{300 = 2 \times 100 + 2 \times 50}}$

$➟ \: { \sf{300 = 200 + 100}}$

$➟ \: { \boxed { \sf{300 = 300}}}$

${ \underline{ \red{ \mathtt{• \: Hence \: Verified }}}}$

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