Question

the breadth of a rectangle playground is 12 meters less twice its length if the perimeter of the ground is 156 metres find its area



please answer this question plz plz plz
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Answer 1

Answer:

The area of the playground is 960 m².

Step-by-step explanation:

Given :

Breadth = 12 meters less twice its length if the perimeter.

Perimeter = 156 m

To find :

Its area

Solution :

Let the -

• Length as x
• Breadth as 2x - 12

★ Perimeter = $\boxed{\sf{2(Length+Breadth)}}$

$\sf{\implies} \: 2(2x - 12 + x) = 156 \\ \\ \sf{\implies} \: 4x - 24 + 2x = 156 \\ \\ \sf{\implies} \: 6x - 24 = 156 \\ \\ \sf{\implies} \: 6x = 156 + 24 \\ \\ \sf{\implies} \: 6x = 180 \\ \\ \sf{\implies} \: x = \dfrac{180}{6} \\ \\ \sf{\implies} \: x = 30$

Length = 30 m

$\rule{300}{1.5}$

★ Value of 2x - 12

$\sf{\implies} \: 2(22) - 12 \\ \\ \sf{\implies} \:44 - 12 \\ \\ \sf{\implies} \: 32$

Breadth = 32 m

$\rule{300}{1.5}$

Area of the rectangle -

★ Area = $\boxed{\sf{Length \times Breadth}}$

$\sf{\implies} \: 30 \times 32 \\ \\ \sf{\implies} \: 960$

$\therefore$ The area of the playground is 960 m².

Answer 2

Answer:

$\bold\red{1440{m}^{2}}$

Step-by-step explanation:

Given,

the breadth of a rectangle playground is 12 meters less twice its length

Let,

length of playground = l

Then,

breadth of playground,b = 2l -12

Also,

Perimeter of playground = 156 m

But,

Perimeter of recatangle = 2(length + breadth)

=> 2( l + 2l - 12 ) = 156

=> 3l - 12 = 78

=> 3l = 90

=> l = 30

Therefore,

length, l = 30 m

Breadth, b = 2× 30 - 12 = 60-12 = 48 m

Now,

For the area of playground,

Area of recatangle = length × breadth

=> Area = ( 30 × 48)

=> Area = 1440

Hence,

Area of playground = $\bold{1440{m}^{2}}$