Areas | MCQs

Explanation

Let's assume the original length and width of the rectangle are L and W

Then, the original area of the rectangle is: A = L x W

If the width of the rectangle is decreased by 25%, its new width is:

W = W - 0.25W = 0.75W

If the length of the rectangle is increased by 16%, its new length is:

L = L + 0.16L = 1.16L

The new area of the rectangle is:

A = L x W

A = (1.16L) x (0.75W)

A = 0.87LW

So the new area is 0.87 times the original area.

This means that the new area is decreased by 13% compared to the original area.

Explanation

The area of a triangle inscribed in a circle is given by:

Area = abc/4R

Explanation

1/2 (sum of parallel sides × altitude) formula is derived from the fact that a trapezium can be divided into a rectangle and a triangle. 

The area of the trapezium is the sum of the areas of these two shapes, which simplifies to 1/2 × (a + b) × h, where a and b are the lengths of the parallel sides, and h is the altitude.

Explanation

Naltar Valley, Gojal Valley, and Neelum Valley are located in the Northern Areas of Pakistan.

• Naltar Valley is a beautiful valley located in the Gilgit-Baltistan region, known for its meadows, forests, and snow-capped mountains.
• Gojal Valley is also located in Gilgit-Baltistan and is the highest inhabited valley in the world, bordering China and Afghanistan.
• Neelum Valley is a stunning valley in Azad Kashmir, known for its lush green forests, rivers, and picturesque villages.