A triangular garden has two boundary lengths of 48 m and 65 m, with included angle $72^\circ$. Tur

Question

A triangular garden has two boundary lengths of 48 m and 65 m, with included angle $72^\circ$. Turf for the whole garden costs $7.50 per square metre. The turf budget is $12 000. Calculate the third boundary length, correct to 3 significant figures.[3] Calculate the area of the garden, correct to 3 significant figures.[2] Using your unrounded area, find the turf cost to the nearest dollar and decide whether the budget is sufficient.[2]

Accepted Answer

(a) $67.8$ m (b) $1480\text{ m}^2$ (3 s.f.) (c) $11 127; budget sufficient

A triangular site and a budget

A triangular site and a budget

Solution:

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