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in Linear Inequations by (48.0k points)
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You are buying a carpet for a rectangular room. The carpet can be at most 12 m long and 6 m wide. Which inequality represents the area of the carpet is square metres ?

(a) A ≤ 36

(b) A ≥ 36

(c) A ≤ 72

(d) A ≥ 72

1 Answer

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by (49.1k points)
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Best answer

Correct option is (c) A ≤ 72

Let l be the length of the carpet and b be the breadth.

It is given that

l ≤ 12m

b ≤ 6m

Area = A

= l × b

Hence maximum area is achieved when l = 12cm and b = 6cm

Hence

Amax​ = l × b

= 72m2

Hence

A ≤ 72m2

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