Triangle as Part of Rectangle

Q.

In the figure given, PR = 22 cm, SN = MQ = 3 cm. What is the area of PQRS?

1. 66 $c{m}^2$

2. 63 $c{m}^2$

3. 34 $c{m}^2$

4. 198 $c{m}^2$

Q.

Ted bought a new TV set. He decided to keep it on a shelf in the corner of the room at some height so that the view gets better. If AB = AC = 48 inches, is the space enough for a TV with an area of the base (as isosceles right triangle shape) equal to 1200 square inches so that no part of the TV lies outside the shelf? If not, what should be the minimum length of AB?

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1. Yes

2. No, 48.5

3. No, 49.5

4. No, 49

Q. Area of an isosceles triangle is $48c{m}^2$. If the altitudes corresponding to the base of the triangle is $8cm$, find the perimeter of the triangle.