Home
Class 12
MATHS
A rectangle of the greatest area is insc...

A rectangle of the greatest area is inscribed in a trapezium ABCD, one of whose non-parallel sides AB is perpendicular to the base, so that one of the rectangle's side lies on the larger base of the trapezium. The base of trapezium are 6 cm and 10 cm and AB is 8 cm long. Then the maximum area of the rectangle is

A

24 `cm^(2)`

B

48 `cm^(2)`

C

36 `cm^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Draw a rectangle of sides 4 cm and 3 cm. Draw a right triangle of the same area of this rectangle.

The area of the rectangle, whose length is 6cm more than the breadth, is 135sq .cm. Find the length and breadth of the rectangle.

The figure shown below is formed by a rectangle with semicircles on each of its four sides. If the sides of the rectangle are 16 cm and 12 cm, what is the area of the figure?

An equilateral triangle is inscribed in the parabola y^2 =4ax whose one vertex is at the vertex of the parabola Show that side of the triangle=8sqrt3 a cms

If length of three sides of a trapezium other than base are equal to 10cm. Then find the area of the trapezium when it is maximum.

In trapezium ABCD, CD is parallel to AB. E and F are points on the non parallel sides. If EF is parallel to AB, then prove thatAE/ED=BF/FC

Height of a prism is 15 cm . Its base is a triangle and the perpendicular sides of the triangle are of lengths 6 cm and 8 cm . a) What is the volume of the prism? b) Find the lateral surface area of the prism.

The length of a rectangle is decreasing at the rate of 5 cm/mi and the width is increasing at the rate of 4cm/min.When length is 8 cm and width is 6 cm, find the rate of change of its area.

A rectangle with one side lying along the x-axis is to be inscribed in the closed region of the xy plane bounded by the lines y = 0, y = 3x, and y = 30 - 2x. The largest area of such a rectangle is

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate if 2 cm/minute. When x = 10 cm and y = 6 cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.