Question

A mosaic tile is shown below. Dan wants to cover a 600-square-inches area. How many mosaic tiles does Dan need?

Answer 1

B. 30

Explanation:

The mosaic tile has a trapezoidal shape, so that its area can be determined as follows;

Area of a trapezium =
`(1)/(2)`(a + b)h

where: a and b represent the length of its plane sides, and h is the height.

Area of a mosaic tile =
`(1)/(2)`(4 + 6) 4

= 10 x 2

Area of a mosaic tile = 20 square inches.

But, Dan wants to cover a 600 square inch area.

So that the number of tiles needed =
`(600)/(20)`

= 30

The number of mosaic tiles needed by Dan is 30.