# 6.1.3. Miscellaneous Exercises on Ratio and Its Properties

is a rectangle in which cm, and is a square whose side length is cm, where . Find the length of and the perimeter of the shaded part.

- Acm, cm
- Bcm, cm
- Ccm, cm
- Dcm, cm

The ratio of the age of a father to that of his child is . If the child is 7 years old, how old is his father?

Show SolutionThe ratio of the age of a father to that of his child is . If the child is 8 years old, how old is his father?

Show SolutionThe ratio between the areas of two pieces of lands is . If the area of land A exceeds that of land B by , find the area of land B.

- A
- B
- C
- D

The ratio between the areas of two pieces of lands is . If the area of land A exceeds that of land B by , find the area of land B.

- A
- B
- C
- D

The ratio between Mahmoud's money and Amr's money is . If the sum of their money is LE, how much money does Mahmoud have?

Show SolutionThe ratio between Ayman's money and Aya's money is . If the sum of their money is LE, how much money does Ayman have?

Show SolutionDetermine the area of a rectangle whose perimeter is cm, given that the ratio between its dimensions is .

- A
- B
- C
- D

Determine the area of a rectangle whose perimeter is cm, given that the ratio between its dimensions is .

- A
- B
- C
- D

If the ratio between Ahmed’s and Omar’s height is , where Omar is cm, find Ahmed's height.

Show SolutionIf the number of pupils in the sixth grade in a school is 203, and the ratio between the number of boys to girls is , find the number of each of boys and girls in this grade.

- A87, 116
- B152, 116
- C87, 270
- D152, 270

Find the two numbers whose sum is 243, and the ratio between them is .

- A81, 486
- B121, 486
- C121, 162
- D81, 162

If a piece of land was divided between two persons according to the ratio , where the share of the first person exceeds that of the second one by 81 square metres, find the area of the piece of the land.

- A
- B
- C
- D

If the ratio between the heights of two buildings in a town is , where the difference between their heights is 8 meters, find the height of each of them.

- Am, m
- Bm, m
- Cm, m
- Dm, m

Two persons started a food business, where the ratio between what the first paid and what the second paid is . Given that the second person paid LE more than the first, determine the capital of the business.

Show SolutionIn a football league, the ratio between the number of goals of a team and the number of goals of another team is , where the sum of their goals is 66, find the number of goals of each team.

- A30 goals, 79 goals
- B55 goals, 79 goals
- C30 goals, 36 goals
- D55 goals, 36 goals

Determine the length and the width of the rectangular piece of land whose perimeter is m, given that the ratio between them is .

- A474, 632
- B316, 632
- C316, 1 896
- D474, 1 896

If and , then .

Show SolutionIn the figure below, is a rectangle, where cm, and is a square of side length cm, where . Determine the ratio between the area of the square and that of the rectangle in the simplest form, and then find the area of the shaded part.

- A,
- B,
- C,
- D,

A wire that has a length of cm has been divided with the ratio to design the square and equilateral triangle shown below respectively. Determine the values of and .

- A,
- B,
- C,
- D,