Geometry

Quadrilaterals

Medium

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

166 cm²

176 cm²

156 cm²

186 cm²

✅ Correct Option: 3

The rectangle has dimensions 18 cm × 12 cm. The shaded region is a parallelogram, and the unshaded portions are triangles.

Rectangle Area $= 18 \times 12$

$= 216$ cm²

From the figure, the unshaded portions form triangles around the parallelogram.

Using the measurements from the figure, the total area of these triangles can be calculated using $\frac{1}{2} \times \text{base} \times \text{height}$ for each triangle.

Total Unshaded Area $= 60$ cm²

The parallelogram area equals the rectangle area minus the unshaded area.

Parallelogram Area $= 216 - 60$

$= 156$ cm²

Therefore, the area of the parallelogram is 156 cm².

2025: 3 June Shift 2

The area of a rectangle whose length is 5 more than twice its width is 75 square unit. What is the perimeter of the rectangle?

2023: 21 May Shift 1

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

2022: 8 Aug Shift 1

The ratio of the sides of the squares in the given figure is

2023: 1 June Shift 1

A quadrilateral has vertices in the order $(0, -1)$ , $(-2, 3)$ , $(6, 7)$ and $(8, 3)$ . The quadrilateral is a:

2026: 19 May Shift 2

The length of one pair of opposite sides of a square is increased by 4 cm on each side; the ratio of the length and the breadth of the newly formed rectangle becomes 5 : 3. Find the area of the original square?

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.

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

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)