- The central park of the city is 40 meters long and

30 meters wide. The mayor wants to construct two

roads of equal width in the park such that the roads

intersect each other at right angles and the diagonals

of the park are also the diagonals of the small rect

angle formed at the intersection of the two roads

Further, the mayor wants that the area of the two

roads to be equal to the remaining area of the park,

What should be the width of the roads?

(a) 10 meters

(b) 12.5 meters

(c) 14 meters

(d) 15 meters

2.A rectangular swimming pool is 48 m long and 20

m wide. The shallow edge of the pool is 1 m deep.

For every 2.6 m that one walks up the inclined base

of the swimming pool, one gains an elevation of 1

m. What is the volume of water (in cubic meters),

in the swimming pool? Assume that the pool is filled

up to the brim.

(a) 528

(b) 960

(c) 6790

(d) 10560

- A thread is wound on a cylinder such that it makes

exactly twenty-four complete turns around the cylin-

der. The two ends of thread touch the top and bottom

of cylinder. If cylinder has a radius of 15 cm and its

curved surface area is 2880 cm’ then find the leng

of the string.