Question

In the figure PQRS is a rectangle. T and U are two points on the side RS a) Find the area of the rectangle. (1)

b) Find the area of the triangle QPS. (1)

c) Find the area of the triangle PTQ. (1)

d) Find the area of the triangle PUQ. (1)

e) If base = b, height = h, area of a triangle = ____ (1)​

Answer 1

Answer:

A) area of rectangle = 10x3 = 30cm².

b) area of the triangle QPS = 1/2(10)(3) = 15cm²

c) since triangle QPS and triangle PTQ are on the same base PQ and btw same parallel lines, PQ and RS, area of the triangle QPS is equal to area of the triangle PTQ.

Therefore, area of the triangle PTQ = 15cm²

d)since triangle QPS and triangle PUQ are on the same base PQ and btw same parallel lines, PQ and RS, area of the triangle QPS is equal to area of the triangle PUQ.

Therefore, area of the triangle PUQ = 15cm²

e)If base = b, height = h, area of a triangle =1/2 bh