Quadrilaterals
Rectangles and Squares
Problem Solving
Definitions
100
A parallelogram has sides that measure 8 cm and 5 cm.
💡 What is its perimeter?
26 cm
[Perimeter = 2 × (8 + 5)]
100
What is the perimeter of a rectangle with sides of 7 feet and 8 feet long?
30 feet
100
Robert is building a dog house for his puppy. If the house measures 2 feet by 3 feet, what is the area of the house?
6 sq ft
100
If you walk around the playground, you are walking around its...
Perimeter
200
Each side of a rhombus is 7 m long.
💡 What is the perimeter of the rhombus?
28 m
(Perimeter = 4 × 7)
200
What is the area of a rectangle that is 5 inches long and 9 inches tall?
45 inches
200
Jane wants to frame a picture that is 11 inches tall and 8 inches wide. How much wood would she need to frame the picture?
38 inches
200
Sherry wants to know how many 1 foot by 1 foot tiles she needs to cover her bathroom floor. She should calculate for...
Area
300
A parallelogram has a base of 9 cm and a height of 6 cm.
💡 What is its area?
Answer: 54 cm²
(Area = base × height)
300
One side of a square is 4 inches. What is the area of the square?
16 sq inches
300
A rectangle has a total perimeter of 32 cm. The rectangle is 10 cm long. What is the height of the rectangle?
6 cm
300
What is the difference between a Rhombus and a Parallelogram?
A rhombus is a quadrilateral with all four sides of equal length, while a parallelogram has opposite sides that are equal and parallel.
400
A rhombus has diagonals where one is 4 cm longer than the other.
If the shorter diagonal is 10 cm,
💡 what is the area of the rhombus?
Answer: 70 cm²
(BD = 10, d₂ = AC → Area = ½ × 10 × 14 = 70)
400
Find the area of a rectangle with one side that is 5.5 inches long and one side that is 7 inches long
38.5 inches
400
A desk is three feet wide and two feet long. What is the total area of three desks put together?
18 sq ft
400
What type of Quadrilateral is this?
A Rhombus
500
A kite’s area is 84 m². One diagonal is 12 m.
💡 Find the length of the other diagonal.
Answer: 14 m
(84 = ½ × 12 × d₂ → 84 × 2 ÷ 12 = 14)
500
A square has a total perimeter of 12 inches. What is the area of the square?
9 sq inches
500
James builds a room in his house that is 10 feet wide and 12 feet long. He adds on another room that is 10 feet wide and 9 feet long. The two rooms share a wall. What is the total perimeter for the two rooms put together?
62 feet
500
Which quadrilateral only has one pair of parallel sides?
A Trapezoid/ Trapezium