The area of a parallelogram is 98 cm 2 . If one altitude is half the corresponding base, determine the base and the altitude of the parallelogram.

Let base = x cm Corresponding altitude = cm By formula, Area of parallelogram = base × altitude Substituting the values we get, ⇒ 98 = ⇒ 98 = ⇒ x 2 = 98 × 2 = 196 ⇒ x = = 14 cm ⇒ Base = x = 14 cm ⇒ Altitude = = 7 cm. Hence, base = 14 cm and altitude = 7 cm.

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Mathematics

The area of a parallelogram is 98 cm². If one altitude is half the corresponding base, determine the base and the altitude of the parallelogram.

Mensuration

Related Questions

The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm², find the perimeter.

If the perimeter of a rectangular plot is 68 m and length of its diagonal is 26 m, find its area.

The area of a trapezium is 540 cm². If the ratio of parallel sides is 7 : 5 and the distance between them is 18 cm, find the length of parallel sides.

The length of a rectangular garden is 12 m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.

Mathematics

The area of a parallelogram is 98 cm2. If one altitude is half the corresponding base, determine the base and the altitude of the parallelogram.

Mensuration

Related Questions

The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm2, find the perimeter.

If the perimeter of a rectangular plot is 68 m and length of its diagonal is 26 m, find its area.

The area of a trapezium is 540 cm2. If the ratio of parallel sides is 7 : 5 and the distance between them is 18 cm, find the length of parallel sides.

The length of a rectangular garden is 12 m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.

The area of a parallelogram is 98 cm². If one altitude is half the corresponding base, determine the base and the altitude of the parallelogram.

The parallel sides of an isosceles trapezium are in the ratio 2 : 3. If its height is 4 cm and area is 60 cm², find the perimeter.

The area of a trapezium is 540 cm². If the ratio of parallel sides is 7 : 5 and the distance between them is 18 cm, find the length of parallel sides.