SCALE AND PROPORTION WORD PROBLEMS

Problem 1 :

The carpenter wants to make a dresser based on the dollhouse furniture. The scale is 5/2 in : 1 ft. The height of the dresser in the doll-house is 10 in. What is the height of the carpenter's dresser?

Solution:

Let h = height of the carpenter's dresser.

So, the height of the carpenter's dresser is 4 ft.

Problem 2 :

The carpenter uses colonial doll furniture with a scale of 9/2 in : 1 ft as a model. The length of a doll's bed is 27 in. What is the length of the carpenter's bed?

Solution:

Let l = length of the carpenter's bed.

So, the length of the carpenter's bed is 6 ft.

Problem 3 :

The scale of some Victorian doll furniture is 15/4 in : 1 ft. The height of the doll's table is 12 in. What is the height of the carpenter's table?

Solution:

Let h = height of the carpenter's table.

So, the height of the carpenter's table is 3.2 ft.

Problem 4 :

The scale of some modern doll furniture is 7/2 in : 1 ft. The length of a doll's sofa is 28 in. What is the length of the carpenter's sofa?

Solution:

Let l = length of the carpenter's sofa.

So, the length of the carpenter's sofa is 8 ft.

Problem 5 :

The carpenter wants to make a desk loke a doll's desk that is 10 1/2 in. high. The scale is 7/2 in : 1 ft. What is the height of the carpenter's desk?

Solution:

Let h = height of the carpenter's desk.

So, the height of the carpenter's desk is 3 ft.

Problem 6 :

Ruth makes a scale drawing of her room. She uses the scale 3/2 in : 1 ft. In the drawing, the dimensions of her room are 18 in. by 24 in. What are the actual dimensions of her room?

Solution:

So, the actual dimensions of her room is 27 ft.