Math, asked by janaki25, 5 hours ago

the breadth of a rectangular Garden is 2/3 of its length. if its perimeter is 40m find its area

Answers

Answered by UrAddiction
65

{\huge{\underbrace{\bf{\pink{Answer}}}}}

Given:

⠀⠀ ⠀⠀

  • The Breadth of are rectangular garden is (2/3) of the length value. And the perimeter is 40 cm.

To Find out :

  • The area of the rectangular gardens =?

“Let suppose that the length of the Rectangular garden = x cm and then the value of the breadth B = (2/3)x cm.”

And we know that Perimeter P = 2(L+B)

☞2[x + (2/3)x]=40

☞(5/3)x = 20

☞x = (3×4)= 12 cm

So, the required value of the length x = 12 cm.

And the required value of the breadth B = (2/3)x= 8 cm

Hence area of garden = length × breadth

☞12 × 8

96 cm²

Answered by Anonymous
24

Answer

  • Area of the rectangular garden = 96m².

Given

  • The breadth of rectangular garden is ⅔ of it's length.

  • Perimeter of rectangular garden = 40 m.

To Find

  • The area of rectangular garden.

Step By Step Explanation

Given that the breadth of rectangular garden is ⅔ of it's length. Perimeter of rectangular garden = 40m.

So let's do it !!

Assumption

Let us consider the length be x then breath will be ⅔ of x.

By substituting the values.

Let's substitute the values in this formula ⤵

\underline{\boxed{\bf{\green{Perimeter_{(Rectangle)} =2( Length + Breadth)}}}}

:\longmapsto\tt40 = 2 \bigg\{\cfrac{2x}{3}  + x  \bigg\}  \\  \\:\longmapsto\tt 40 = 2\bigg\{\cfrac{2x + 3x}{3} \bigg\} \\  \\: \longmapsto\tt40 = 2\bigg\{\cfrac{5x}{3}  \bigg\} \\  \\:\longmapsto\tt 40 = 2 \times  \cfrac{5x}{3}  \\  \\:\longmapsto\tt 40 =  \cfrac{10x}{3} \\  \\:\longmapsto\tt 40 \times 3 = 10x \\  \\:\longmapsto\tt120=10x\\\\:\longmapsto\tt\cancel\cfrac{120}{10} = x \\  \\:\longmapsto\tt 12m = x

Length = 12 m and Breadth = ⅔ × 12 => 8 m.

By substituting the actual values

Now Area will be

\underline {\boxed{ \bf{\pink{Area_{(Rectangle)} = Length \times Breadth}}}}

:\longmapsto\tt12 \times 8 {m}^{2}  \\  \\:\longmapsto\tt Area = 96 {m}^{2}

Therefore, area of rectangular garden = 96 .

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