Find the height of the triangle whose area is 560 cm² and base is 42 cm

Find area of triangles
a. Whose height is 5cm and base is 10cm
b. Whose three sides are a = 5 cm, b = 5 cm and c = 8 cm

Driver A charges $25 fees and $0.10 per extra mile driven. Driver B charges no fees but charges $0.60 per mile driven. Find the distance in miles for which the two drivers will cost the same money. Also, find the cost.

An artist charges $20 constant fee plus $10 per extra hour he does. Write the linear model and find the charges taken by him if he works for 4 and a half hours.

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Note:
This type of question is called a word problem. We need to have simple understanding of total cost of the number of items purchased and multiplication.  There could be many more items and their costs added in the list. This is the standard method of approaching these problems.

If the distance between the shorter sides of a parallelogram is 16 m, the sides of a parallelogram are 24m and 18m. Find the distance between its longer side

A Cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm, and its length is 21 cm. The metal everywhere is 0.4 cm. Calculate the volume of the metal correct to 1 place of decimal.

The base of a right angled triangle is 5cm and hypotenuse is 13cm. Find its area.

The perimeter of the triangle is 44cm. if its sides are in the ratio 9:7:6. Find its area.

The sides of a triangle are 8cm, 15cm and 17cm. find its perimeter and its area. Also find the length of the altitude drawn on the side with length 17cm.

The cost of an ice cream scoop is $11 and the cost of additional toppings is $1.50. Find the cost of an ice cream with 4 toppings.

Find the area of an isosceles triangle whose equal sides are of length 15 cm each and third side is 12 cm.

A line l touches the Y-axis at point 3 and has slope –3. Find the slope of the line perpendicular to the line l.

The radius of the base of a right circular cylinder is doubled and the height is halved. What is the ratio of volume of the new cylinder to that of the original cylinder?

Two sides of a parallelogram are 7 inch and 4 inch respectively. The angle between them is 30 degrees. Find its area

Sides of a triangle are in the ratio 12 : 17 : 25 and its perimeter is 540 cm. Find its area.