Question

In the given figure, find the area of the triangle STR?

• A. 210 sq. ft
• B. 540 sq.ft
• C. 280 sq.ft
• D. 420 sq. ft

Answer 1

The correct option is A 210 sq. ft

In the rectangle PQRS,
Length = 30 ft
Width = 14 ft

Now, lets draw a perpendicular at point T to U such that it divides the triangle into two right angle triangle as shown.



In the triangle STR,
Height of triangle STR = width = 14 ft
Base of triangle STR = lengh = 30 ft
$\text{Area of STR =}\frac{1}{2}\times base\times height$

$=\frac{1}{2}\times 30\times 14$

= 210 sq. ft

$\therefore \text{Area of}\Delta \text{STR = 210 sq. ft}$