Question

define the parts of a plants

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Answer 1

Explanation:

Answer:-

\red{\bigstar}★ Dimensions of rectangular field are \large\leadsto\boxed{\tt\purple{140 \times 100 \: m^2}}⇝

140×100m

2

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• Given:-

Ratio of length and breadth of a rectangular field = 7:5

Perimeter of rectangular field = 480 m

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• To Find:-

Dimensions of the rectangular field.

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• Solution:-

Let the length and breadth in the ratio be '7x' and '5x' respectively.

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★ Figure:-

\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 7x m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 5x m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}

• According to the question:-

Perimeter of the rectangular field is 480 m.

We know,

\pink{\bigstar}★ \large\underline{\boxed{\bf\green{Perimeter = 2(l+b)}}}

Perimeter=2(l+b)

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• Substituting in the values:-

➪ \sf 480 = 2(7x + 5x)480=2(7x+5x)

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➪ \sf 480 = 2(12x)480=2(12x)

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➪ \sf 480 = 24x480=24x

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➪ \sf x = \dfrac{480}{24}x=

24

480

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★ \large{\bf\pink{x = 20}}x=20

Hence,

Length = 7x = 7 × 20 = 140 m

Breadth = 5x = 5 × 20 = 100 m

Therefore, the dimensions of the rectangular field are 140 × 100 m².