Question

the perimeter of a field is 300 m and it's length is 100 m . find it's breadth and area
$300 m lenghth 100 m$
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Answer 1

$\huge{\sf{\underline{Question:}}}$

The perimeter of a field is 300 m and it's length is 100 m . Find it's breadth and area.

$\huge{\sf{\underline{Solution:}}}$

Using the formulae:

★$\underline{\fbox{Breadth = P/2 - L}}$★

★$\underline{\fbox{Area = L × B}}$★

First, let's find the breadth:-

$\implies{\frac{300}{2} - 100}$

$\implies{150 - 100}$

$\bold{\implies{50m}}$

Now, finding the area:-

$\implies{100 × 50}$

$\bf{\red{\implies{5000 m^{2}}}}$

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Answer 2

Given :-

• Perimeter of a field = 300 m
• Length of field = 100m

To Find :-

• Breadth and area.

Solution :-

• Let breadth of the field be x m.

Perimeter of rectangle = 2(L + B)

➠ 300m = 2(100 + x)

➠ 300m = 200 + 2x

➠ 300 - 200 = 2x

➠ 100 = 2x

➠ x = 100/2

➠ x = 50 m

Hence,

• Breadth of field is 50m

Now,

➠ Area of rectangle = L × B

➠ Area = 100 × 50

➠ Area = 5000 m²

Hence,

• Area of field is 5000 m²