GCSE OCR Maths Area: The area of the parallelogram is

The area of the parallelogram is four times the area of the triangle - OCR - GCSE Maths - Question 10 - 2019 - Paper 1

Question 10

The area of the parallelogram is four times the area of the triangle. 6 cm 4 cm 3 cm Calculate the length, L, of the parallelogram.

Worked Solution & Example Answer:The area of the parallelogram is four times the area of the triangle - OCR - GCSE Maths - Question 10 - 2019 - Paper 1

Step 1

96%

114 rated

Answer

The area of a right triangle can be calculated using the formula:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

In this case, the base is 4 cm and the height is 6 cm:

$\text{Area} = \frac{1}{2} \times 4 \times 6 = 12 \text{ cm}^2$

Step 2

99%

104 rated

Answer

The area of the parallelogram is given as four times the area of the triangle:

$\text{Area of parallelogram} = 4 \times 12 = 48 \text{ cm}^2$

Step 3

96%

101 rated

Answer

The area of a parallelogram can be calculated using the formula:

$\text{Area} = \text{base} \times \text{height}$

In this case, the base is L cm and the height is 3 cm:

Step 4

98%

120 rated

Answer

From the previous calculation, we have:

$\text{Area} = L \times 3$

Setting this equal to the area we calculated earlier:

$48 = L \times 3$

To find L, divide both sides by 3:

$L = \frac{48}{3} = 16 \text{ cm}$