Using the formula for the nth term, a + 6d = 25. Substituting d = 3 gives a + 18 = 25, thus a = 7.

Using the formula for the nth term, a + 6d = 50. Substituting d = 5 gives a + 30 = 50, hence a = 20.

Using the formula A = P(1 + r)^t, we have 1210 = 1000(1 + r)^2. Solving gives r = 0.1 or 10%.

Let the angles be 2x, 3x, and 4x. The sum of angles in a triangle is 180 degrees. Therefore, 2x + 3x + 4x = 180. Solving gives x = 20, so the largest angle is 4x = 80 degrees.

Area = πr². 154 = (22/7)r². Solving gives r² = 154 * 7 / 22 = 49, so r = 7 cm.

Area = πr². 154 = (22/7)r². Solving gives r² = 154 * 7 / 22 = 49, so r = 7 units.

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 meters.

Area = base × height. Thus, 120 = 15 × height, giving height = 120/15 = 8 units.

If the height of a parallelogram is halved, the area is also halved, as area = base × height.

In the formula for the area of a quadrilateral, d1 and d2 represent the lengths of the diagonals.

This formula applies to a kite, where the diagonals intersect at an angle.

Area = Length * Width. Therefore, Width = Area / Length = 48 / 8 = 6 meters.

Area = (d1 × d2) / 2. 72 = (12 × d2) / 2, so d2 = 12 cm.

Area = (1/2) × d1 × d2. Thus, 72 = (1/2) × 12 × d2, giving d2 = 12 cm.

Area of a sector = (θ/360) × πr². Thus, 25π = (θ/360) × π(10)². Solving gives θ = 90 degrees.

Area of a sector = (θ/360) × πr². Thus, 25π = (θ/360) × π(5)². Solving gives θ = 90°.

Area of a sector = (θ/360) × πr². Thus, 30 = (θ/360) × π × 25. Solving gives θ = (30 × 360)/(25π) ≈ 72°.

Area of a square = side². Therefore, side = √64 = 8 cm.

Area = side². Thus, 64 = side², giving side = √64 = 8 meters.

Area = side². Thus, side = √64 = 8 units.

Area = (1/2) × (a + b) × height. 60 = (1/2) × (10 + 14) × height. Solving gives height = 5 cm.

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Area = 1/2 * base * height. Therefore, 24 = 1/2 * 8 * height, which gives height = 6 cm.

The area of a triangle is given by the formula Area = 1/2 * base * height. Thus, 24 = 1/2 * 8 * height, which gives height = 6 cm.

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 cm.

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.

Substituting the values into the area formula: A = 1/2 * 10 * 5 = 25 cm².

Total = Average × Number of items = 25 × 4 = 100.

Total = Average × Number of items = 50 × 10 = 500.