Converting Fractions and Decimals
Convert 3/4 into a decimal.
0.75
A square has a side length of 4.5 metres. What is its perimeter?
P = 18 m
The side length of a square is x metres. Write an expression for the area of the square.
A = x2 m2
The perimeter of a square is 20 cm. Find the side length of the square.
Length = 5 cm
A rectangle has a perimeter of 30 metres. If the width is 1/4 of the length, find the dimensions of the rectangle.
Length = 12 m and Width = 3 m
Express 1.25 as a mixed number.
1 1/4
The length of a rectangle is 7.5 metres, and the width is 3.2 metres. What is the perimeter of the rectangle?
P = 21.4 m
The length of a rectangle is x+3 metres, and the width is x metres. Write an expression for the area of the rectangle.
A = x(x+3) m2
The area of a triangle is 12 square cm, and its base is 4 cm. Find the height of the triangle.
Height = 6 cm
A parallelogram has a base of 9 cm and an area of 54 square cm. If the height is x+2 cm, find x.
x = 4
Convert 7/8 into a decimal.
0.875
A parallelogram has sides measuring 6.25 cm and 4 cm. What is its perimeter?
P = 20.5 cm
The base of a triangle is 6 cm, and its height is 1/2 of the base. Find the area of the triangle.
A = 9 cm2
The area of a parallelogram is 48 square metres, and its base is 8 metres. Find the height.
Height = 6 m
A square has a side length of 4.5 metres. If the area of a triangle is half the area of the square, and the height of the triangle is 3 metres, find the base of the triangle.
Base = 6.75 m
Convert 0.625 into a fraction.
5/8
A square has a side length of 9.75 metres. What is its perimeter?
P = 39 m
The base of a parallelogram is x metres, and the height is 2x metres. Write an expression for the area of the parallelogram.
A = 2x2 m2
A rectangle has a width of 5 cm and a length of 2x+3 cm. If the perimeter of the rectangle is 36 cm, find the value of x.
x = 5
A garden is in the shape of a rectangle. Its length is 3 metres more than twice its width. If the perimeter of the garden is 24 metres, find the dimensions of the garden.
Length = 9 m and Width = 3 m
Express 3.125 as a mixed number.
3 1/8
The length of a rectangle is 12.8 metres, and the width is 5.4 metres. What is the perimeter of the rectangle?
P = 36.4 m
The base of a triangle is 4x cm, and its height is 2x/3 cm. Find the area of the triangle in terms of x.
A = 4x2/3 cm2
The perimeter of a square is 12x+8 cm. Find the side length of the square in terms of x.
Length = 3x+2 cm
The area of a square playground is 64 square metres. A path that is 1 metre wide surrounds the playground. What is the area of the path?
A = 17 m2