Question

The distance around a rectangular field is 400 meters. The length of the field is 26 mete
more than the breadth. Calculate the length and breadth of the field?​

Answer 1

Answer:

${\pink{\green{\sf{\therefore Length=113m}}}}$

${\pink{\green{\sf{\therefore Breadth=87m}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In the given question information is given about Relation between Length and Breadth and Perimeter of Field is given.

• We have to find the Length and Breadth.

$\underline \bold{Given : } \\ \implies Let \: Breadth = x \\ \implies Length = 26 + x \\ \implies Perimeter = 400m\\ \\ \underline \bold{ To \: Find :} \\ \implies Length = ? \\ \implies Breadth = ?$

• According to given question :

$\implies Perimeter \: of \: Rectangle = 400m \\ \implies 2(l + b) = 400 \\ \implies 2(26 + x + x) = 400 \\ \implies 26 + 2x = \frac{400}{2} \\ \implies 2x = 200 - 26 \\ \implies x = \frac{174}{2} \\ \bold{\implies x = 87} \\ \\ \implies Length = 26 + x = 26 + 87 \\ \bold{\implies Length = 113m} \\ \bold{\implies Breadth = x = 87m}$