A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :
₹ 90,000
₹ 1,20,000
₹ 1,80,000
₹ 3,60,000
Mensuration
3 Likes

Question

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :
₹ 90,000
₹ 1,20,000
₹ 1,80,000
₹ 3,60,000

Mensuration

3 Likes

KnowledgeBoat · Accepted Answer

Let ABCD be a field in the shape of a || gm . Calculating area of triangle BCD, CD = a = 120 m, BC = b = 170 m, BD = c = 250 m By formula, We know that, In a parallelogram, the diagonal divides the parallelogram into two congruent triangles. Thus, area of triangle ABD = area of triangle BCD = 9000 m2. Area of parallelogram ABCD = Area of triangle ABD + Area of triangle BCD = 9000 + 9000 = 18000 m2. Given, Cost of ploughing the field = ₹20 per sq m. Total cost = Area × Cost per sq m = 18000 × ₹20 = ₹3,60,000. Hence, option 4 is the correct option.

Mathematics

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :
₹ 90,000
₹ 1,20,000
₹ 1,80,000
₹ 3,60,000

Mensuration

Related Questions

The base of an isosceles triangle is 16 cm and its area is 48 cm². The perimeter of the triangle is :
24 cm
30 cm
36 cm
42 cm

In the given figure, ABCD is a trapezium in which AB || CD. If area of △BEC is 12 cm², then area of △EDC is :
12 cm²
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none of these

Mathematics

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :₹ 90,000₹ 1,20,000₹ 1,80,000₹ 3,60,000

Mensuration

Related Questions

The base of an isosceles triangle is 16 cm and its area is 48 cm2. The perimeter of the triangle is :24 cm30 cm36 cm42 cm

In the given figure, ABCD is a trapezium in which AB || CD. If area of △BEC is 12 cm2, then area of △EDC is :12 cm26 cm224 cm2none of these

A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹20 per sq m is :
₹ 90,000
₹ 1,20,000
₹ 1,80,000
₹ 3,60,000

The base of an isosceles triangle is 16 cm and its area is 48 cm². The perimeter of the triangle is :
24 cm
30 cm
36 cm
42 cm

In the given figure, ABCD is a trapezium in which AB || CD. If area of △BEC is 12 cm², then area of △EDC is :
12 cm²
6 cm²
24 cm²
none of these