In the figure below, `ST || PQ`. All measurements are in units.

Prove that the area of the trapezium PQTS is `[frac{1}{2} (a+b)h]` sq units.

In the circle given below . Let OA = 1 unit , OB = 13 unit and PQ bot OB. Then the area of the triangle PQB ( in square units)is

The area (in sq. units) enclosed by the graphs of |x+y|=2 and |x|=1 is

If the length of a rectangle is reduced by 5 units and its breadth is increased by 2 units then the area of the rectangle is reduced by 80 sq units. However, if we increase its length by 10 units and decrease the breadth by 5 units, its area increased by 50 sq units. Find the length and breadth of the rectangle.

Find the area of the trapezium PQRS with height PQ given in the figure given below

Area of the region bounded by y=|x| and y=1-|x| in sq.units is

If a point P moves such that the sum of its distances from two perpendicular lines is less than or equal to 2 and S be the region consisting of all such points P , then area of the region S is : (A) 4 sq.untis (B) 8 sq. units (C) 6 sq. units (D) none of these

The area of a triangle ABC is 63 sq. unuts Two parallel lines DE, FG, are drawn such that they divide the line segments AB and AC into three equal parts. What is the area of the quadrilateral DEGF ? A. 28 sq. units B. 35 sq. units C. 21 sq. units D. 48 sq. units

If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1 intersects the major and minor axes in points A and B respectively, then the area of DeltaOAB is equal to (A) 12 sq. untis (B) 24 sq. units (C) 48 sq. units (D) 64 sq. units

If the centroid of a triangle is (1,4) and two of its vertices are (4,-3) and (-9,7) , then the area of the triangle is 183 sq.units (b) (183)/(2) sq.units (c)366 sq.units (d) (183)/(4) sq. units

Let A-=(-4, 0), B -= (-1, 4). C and D are points which are symmetric to points A and B respectively with respect to y-axis, then area of the quadrilateral ABCD is (A) 8 sq units (B) 12 sq. units (C) 20 sq. units (D) none of these