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Question
Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?
Solution
Given, dimensions of a rectangular field 32 m × 26 m and area increased = 650 m2
∴ Increased area of wheat field = Area of EFGH – Area of ABCD wheat field
⇒ 650 = EF × EH – AB × AD ......[∵ Area of rectangle = Length × Breadth]
⇒ 650 = EF × 26 – 32 × 26
⇒ 650 = 26EF – 832
⇒ 1482 = 26EF
⇒ EF = 57 m
Hence, the length of the expanded wheat field is 57 m.
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