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Question

What is the area of the parallelogram whose base is \(5\text{ cm}\) and corresponding height is \(6\text{ cm}\)?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
$30\text{ cm}^2$

Area Calculation for Parallelogram

The area of a parallelogram is found by multiplying its base by its corresponding height.

Formula

The formula for the area (\(A\)) of a parallelogram is:

\(A = b \times h\)

Where:

  • \(b\) is the length of the base.
  • \(h\) is the corresponding height.

Given Values

  • Base (\(b\)) = \(5\text{ cm}\)
  • Height (\(h\)) = \(6\text{ cm}\)

Calculation Steps

  1. Substitute the values into the area formula:

    \(A = 5\text{ cm} \times 6\text{ cm}\)

  2. Calculate the product:

    \(A = 30\text{ cm}^2\)

Result

The area of the parallelogram is \(30\text{ cm}^2\). This matches Option A.

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Similar Questions

  1. What is the area of a square whose diagonal measures 4 cm?
  2. Calculate the length of the diagonal of a square if the area of the square is 32 cm\(^2\).
  3. A farmer wants to fence his rectangular field of length 200 m and area 3000 \(\text{m}^2\). If the cost of fencing per metre is 5 rupees, what is the total cost of fencing in rupees?
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Important Questions from 2-D Mensuration

  1. The length of a rectangular plot is $(x^2 + xy + y^2)$ m and its breadth is $(x^2 - 5xy - y^2)$ m.
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  3. The shorter side of a rectangle is 15 cm less than the longer side. The numerical value of its area is equal to 5 times the numerical value of its perimeter. What is the length (in cm) of its longer side?

  4. In a circle of radius 10.5 cm, if the angle of a sector is $\frac{2\pi}{3}$, then the perimeter of the sector is (in cm):
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    Take $\pi = \frac{22}{7}$
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