Question

The length of a rectangle is 6cm more than its breath. If the perimeter of the rectangle is 60cm.,Find its length and breadth. Also find its areas

Answer 1

$\large{\boxed{\bf{Answer}}}$

• Length = 18 metres

• Breadth = 12 metres

• Area = 216 square metres

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Given :-

• Length of rectangle is 6 more than it's breadth.

• Perimeter of rectangle is 60 cm.

To Find :-

• Length

• Breadth

• Area

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$\large{\boxed{\bf{Solution}}}$

• Let breadth of the rectangle be x metres.

Then, length of rectangle is 6 more than it's breadth

• Length of rectangle = x + 6 meters.

★ Perimeter of a rectangle = 2 (length + breadth)

According to question :-

• 2 (x + x + 6) = 60

=> 2 (2x + 6) = 60

=> 2x + 6 = 60/2

=> 2x + 6 = 30

=> 2x = 30 - 6

=> 2x = 24

=> x = 24/2

=> x = 12

• Breadth of the rectangle = x = 12m

• Length of the rectangle = x + 6 = 12 + 6 = 18m

★ Area of a rectangle = length × breadth

=> 12m × 18m

=> 216 m²

• Area of the rectangle = 216m²

Hence, length, breadth and area of the rectangle are 12m, 18m and 216m² respectively.

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Answer 2

AnSwEr :

${\red\bigstar\Large\bold{\underline{\textsf{\orange{Given:}}}}}$

• Length is 6 cm more than its breadth

• Perimeter = 60 cm

${\red\bigstar\Large\bold{\underline{\textsf{\orange{To\:Find:}}}}}$

• Length

• Breadth

• Area

${\red\bigstar\Large\bold{\underline{\textsf{\orange{Solution:}}}}}$

☯ Let the breadth be x

☯ The length will be x + 6

☯ FORMULA USED :

$\large\bold{\boxed{\sf{\pink{Perimeter\:=\:2(\:l\:+\:b\:)}}}}$

➡ $\sf 2(x+6+x)\:=\:60$

➡ $\sf 2(2x+6)\:=\:60$

➡ $\sf 4x\:+\:12\:=\:60$

➡ $\sf 4x\:=\: 60\:-\:12$

➡ $\sf x\:=\: \dfrac{48}{4}$

${\orange\bigstar\Large\bold{\underline{\textsf{\red{x\:=\:12\:cm}}}}}$

▶Length = x + 6 = 12 + 6 = 18 cm

▶Breadth = x = 12 cm

Now , FORMULA TO BE USED :

$\large\bold{\boxed{\sf{\pink{Area\:=\:Length \times Breadth}}}}$

➡ $\sf Area\:=\:18 \times 12$

➡ $\sf Area\:=\:216\: {cm}^{2}$

▶ Area = 216 ${cm}^{2}$

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