Question

6. The base of a triangular field is twice its altitude. If the cost of cultivating the field at rs 14.50 per 100m^2 is $52200 find its base and altitude

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Answer 1

Answer

• Base = 12 m & Altitude = 6 m

Explanation

We are given that,

• Base =2 × Altitude
• Cost per 100 m² = 14.50
• Total cost = $ 52200

We have to find,

• The length of the base and it's altitude?

So here we shall first find the area of the field and then with that substute them in the formula to find the area to get our Answers!!

Total area of the field will be,

➝ 52200/{14.50×100}

➝ 52200/1450

➝ Area = 36 m²

Assume the following,

• Base = 2x
• Altitude = x

Formula to find area of a triangle is,

Area = ½ × Base × Height

Substituting the values,

➝ 36 = ½ × 2x × x

➝ 36 = x × x

➝ 36 = x²

➝ √36 = x²

➝ x = 6

★ The base and the altitude will be

➝ Base = 2x = 2 × 6 = 12 m

➝ Altitude = x = 6 m

Answer 2

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GIVEN:-

we know total cost is 52200

the rate of cultivating is 14.50 per 100 m this implies its area will be 360000 and its base is twice its altitude

TO FIND:-

Base and Altitude.

SOLUTION:-

So, if altitude is x then base will be 2x by formula of 1/2 × b × h we have area as 1/2x

2x = x²

we know,

Area is 360000

so x² will be equal to 360000 this implies x is equal to 600 and 2x as 1200

So,

b is 1200 and h or a is 600.

• I Hope it's Helpful My Friend.