Question

The base of a box has a perimeter of 20 and its height is 8 . If the height is 3 more than one of its base

sides, find its surface area.​

Answer 1

Answer:

A square and a rectangular field with measurements as given in the following figure have the same perimeter. Which field has a larger area?

Sol. Let x be the breadth of the rectangle. It is given that the perimeter of a rectangle = perimeter of the square.

∴ 2(80 + x) = 4 × 60

⇒80 + x = 120

⇒x = 120 – 80 = 40

i.e. breadth of the rectangle = 40 m

Now, Area of the square = (60 × 60) m2

= 3600 m2

and the area of the rectangle = (40 × 80) m2

= 3200 m2

Hence, the square field has a larger area.