Question

A farmer prepares a rectangular vegetable garden of area 180 square metre with 39 metre of barbed wire he can fence the three side of the garden leaving one of the longest side and unfenced find the dimension of the garden.

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Answer 1

☞ Qᴜᴇsᴛɪᴏɴ :-

A farmer prepares a rectangular vegetable garden of area 180 sq metres. With 39 metres of barbed wire, he can fence the three sides of the garden, leaving one of the longer sides unfenced. Find the dimensions of the garden.

☞ Gɪᴠᴇɴ :-

• Area of vegetable garden = 180 sq metres
• Farmer barbed wire with 39 metres

☞ Tᴏ Fɪɴᴅ :-

• Dimensions of the garden

☞ Sᴏʟᴜᴛɪᴏɴ :-

Let the length = x m

area = length × width

width = 180/x m

➳ 180/x + 180/x + x = 39

➳ 180+180+x²/x = 39

➳ 360 + x² = 39x

➳ x² - 39x + 360 = 0

➳ x² - 24x - 15x + 360 = 0

➳ x(x - 24) - 15 (x - 24) = 0

➳ (x - 15) (x - 24) = 0

➳ x - 15 = 0 x - 24 = 0

➳ x = 15m x = 24m

Length = 15, 24

Width = 180/15 , 180/24

= 12, 7.5

Hence,

• 1st pair ➳ 15, 12 metres
• 2nd pair ➳ 24, 7.5 metres

Answer 2

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