9.7 Rectangles


The length of a room is 8 ft greater than it is width. If each dimension is

increased by 2 ft, the area will be increased by 60 sq. ft. Find the dimensions

of the rooms.
 
 
 
 
 

A rectangular lot is 20 yards longer than it is wide and its area is 2400 square

yards. Find the dimensions of the lot.
 
 
 
 
 
 

A room is one yard longer than it is wide. At 75c per sq. yd. a covering for

the floor costs S31.50. Find the dimensions of the floor.
 
 
 
 
 

A lawn is 60 ft by 80 ft. How wide a strip must be cut around it when

mowing the grass to have cut half of it.
 
 
 
 
 

The length of a rectangle is 15 ft greater than its width. If each dimension is

decreased by 2 ft, the area will be decreased by 106 ft2. Find the dimensions.
 
 
 
 
 

In a landscape plan, a rectangular flowerbed is designed to be 4 meters longer

than it is wide. If 60 square meters are needed for the plants in the bed, what

should the dimensions of the rectangular bed be?
 
 
 
 
 

If the side of a square is increased by 5 the area is multiplied by 4. Find the

side of the original square.
 
 
 
 
 
 
 

A mirror 14 inches by 15 inches has a frame of uniform width. If the area of
the frame equals that of the mirror, what is the width of the frame.
 
 
 
 
 
 

A picture is 12 in by 25 in and is surrounded by a frame of uniform width.

The area of the frame is 30% of the area of the picture. How wide is the

frame?
 
 
 
 
 
 

The length of a rectangular lot is 4 rods greater than its width, and its area is

60 square rods. Find the dimensions of the lot.