9.7 Rectangles


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.


 


 


 


 

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?


 


 


 


 


 

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.


 


 


 


 


 

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


 


 


 


 


 


 


 

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.


 


 


 


 


 

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 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.


 


 


 


 


 

A rectangular lot is 20 yards longer than it is wide and its area is 2400 square
yards. Find the dimensions of the lot.