Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm^2. Option 1: 68 cm Option 2: 30 cm Option 3: 24 cm Option 4: 36 cm

Answer: 68 cm. Solution: Area of rhombus = 1/2 d_1 d_2. 240 = 1/2 x 16 x d_2, so d_2 = 30 cm. Side of rhombus = √((d_1/2)^2 + (d_2/2)^2) = √(8^2 + 15^2) = √289 = 17 cm. Perimeter = 4 x 17 = 68 cm.

Geometry

Quadrilaterals

Medium

Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm $^2$ .

68 cm

30 cm

24 cm

36 cm

✅ Correct Option: 1

Area of rhombus = $\frac{1}{2} d_1 d_2$ .

$240 = \frac{1}{2} \times 16 \times d_2$ , so $d_2 = 30$ cm.

Side of rhombus = $\sqrt{(d_1/2)^2 + (d_2/2)^2} = \sqrt{8^2 + 15^2} = \sqrt{289} = 17$ cm.

Perimeter = 4 x 17 = 68 cm.

2026: 30 May Shift 2

If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.

2023: 5 June Shift 2

If A (1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram ABCD, then find the values of x and y.

2025: 29 May Shift 2

In the adjoining figure, a rectangle has dimensions of 18 cm x 12 cm. The area of the parallelogram (shaded portion) is

2022: 8 Aug Shift 1

The area of DGFE is

2026: 29 May Shift 1

Find the maximum distance between two points on the perimeter of a rectangular garden whose length and breadth are 20 meter and 15 meter.

2022: 24 Aug Shift 1

Side of the rhombus is :

Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm2^22.

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm $^2$ .