Area - Free MCQ Practice Test with solutions, Class 8 Maths

Let the rectangle have length L and width W.

Area = Length × Width = L × W.

Therefore the correct option is A.

When a quadrilateral is partitioned into two non-overlapping triangles, its area equals the sum of the areas of the two triangles.

Area = 20 sq. cm + 15 sq. cm = 35 sq. cm.

Answer: 35 sq. cm

Area of a triangle = 1/2 × base × height.

Here base = 5 units and height = 3 units, so Area = 1/2 × 5 × 3.

Area = 1/2 × 15 = 7.5 sq. units.

Answer: 7.5 sq. units (Option B).

Area of a rectangle = length × width.

Here, length = 8 cm and width = 3 cm, so area = 8 × 3 = 24 sq. cm.

A trapezium (or trapezoid) has two parallel sides (bases), which makes its area formula different from that of a rectangle. The area of a trapezium is calculated with the formula Area = ½ × Height × (Base 1 + Base 2), reflecting the need to account for the two bases.

The diagonals of a rhombus are perpendicular bisectors of each other, meaning they intersect at right angles and divide each other into equal segments. This unique property is essential for calculating the area of a rhombus accurately.

Area of a triangle = 1/2 × base × height.

Substitute values: 1/2 × 5 × 3 = (1/2) × 15 = 7.5.

Therefore, the area is 7.5 sq. units.

Let the rectangle have length l and breadth b.

Area of the rectangle = l × b. A diagonal divides the rectangle into two congruent right-angled triangles, each occupying exactly half the rectangle.

Area of each triangle = 1/2 × l × b.

Therefore, the two triangles have equal areas.

Use the formula for the area of a triangle: Area = 1/2 × base × height.

Substitute base = 8 and height = 4: Area = 1/2 × 8 × 4.

Compute: 1/2 × 8 = 4, then 4 × 4 = 16.

Therefore, the area = 16 sq. units.

Let the rectangle be ABCD and the diagonals AC and BD intersect at O.

In a rectangle (a parallelogram) the diagonals bisect each other; hence O is the midpoint of both AC and BD.

The diagonals divide the rectangle into four triangles whose total area equals the area of the rectangle. By symmetry and because opposite triangles are congruent, all four triangles have the same area.

Therefore, each triangle has equal area (each is one quarter of the rectangle's area).

Area of triangle = ½ × base × height
If base and height are same → area must be same.

Area of a trapezium = (sum of parallel sides ÷ 2) × height.

Substitute: (4 + 6) ÷ 2 = 10 ÷ 2 = 5.

So area = 5 × 5 = 25 sq. cm.

Answer: 25 sq. cm

Area of trapezium = 1/2 × height × (sum of parallel sides)
= 1/2 × 4 × (6 + 10)
= 2 × 16 = 32 cm²

The area of a parallelogram is the product of its base and the corresponding height (the perpendicular distance between the parallel sides).

Area = Base × Height

Area = base × height
New area = (2 × base) × height = 2 × original area