Question

The perimeter of a rectangular vegetable patch is 72 meters. The vegetable patch is 10 meters wide. How long is it?​

Answer 1

Answer:

✳ Length of the rectangular vegetable patch = 26m.

SOLUTION

Perimeter of the rectangular vegetable patch = 72m.

Breadth(b) of the rectangular vegetable patch = 10m.

Perimeter of a rectangle = 2(l+b),where l is the length and b is the breadth of the rectangle.

$\implies$ 72 = 2(l + 10)

$\implies$ 72 = 2l + 20

$\implies$ 72 - 20 = 2l

$\implies$ 52 = 2l

$\implies \sf l = \dfrac{52}{2}$

$\implies$ l = 26m.

✳ Length of the rectangular vegetable patch = 26m.

THE VEGETABLE PATCH

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 26m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 10m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

Answer 2

Given :-

• Perimeter of rectangular vegetable patch is 72 m
• Breadth of rectangular vegetable patch is 10m

To Find :-

• Length of rectangular vegetable patch.

Solution :-

❏ As it is given that the shape of the vegetable patch is rectangular , so we will use 2 ( Length + Breadth ) to find the Length of the vegetable patch.

Putting the Values :

➞ Perimeter of Patch = 2 ( L + B )

➞ 72 = 2 ( Length + 10 )

➞ 72 / 2 = Length + 10

➞ 36 = Length + 10

➞ 36 - 10 = Length

➞ 26m = Length

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Verification :

➞ Perimeter of Patch = 2 ( L + B )

➞ Perimeter of Patch = 2 ( 26 + 10 )

➞ Perimeter of Patch = 2 × 36

➞ 72 = 72

Hence Verified

Thus, Length of the rectangular vegetable patch is 26m

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