Question

the distance around a rectangular field is 400 metres the length of the field is 26 metres more than the bread calculate the length and breadth of the field

Answer 1

Answer: length 113m

Breadth 87m

Step-by-step explanation:

Answer 2

• Let Breadth of rectangular field = (M) m

And

• Length of rectangular field = (M + 26) m

• Perimeter = 400 m

We know that..

Perimeter of rectangle = 2(Length + Breadth)

Put the known values in above formula

=> 2(M + 26 + M) = 400

=> 2M + 52 + 2M = 400

=> 4M + 52 = 400

=> 4M = 400 - 52

=> 4M = 348

=> M = 348/4

=> M = 87

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Now;

• We have Breadth = M = 87 m

And

• Length = (M + 26)

=> (87 + 26)

=> 113 m

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Length of rectangular field = 113 m

and

Breadth of rectangular field = 87 m

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✡ VERIFICATION :

From above calculations we have M = 87

Put them in this : 2(M + 26 + M) = 400

=> 2(2M + 26) = 400

=> 2[2(87) + 26] = 400

=> 2(174 + 26) = 400

=> 2(200) = 400

=> 400 = 400

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