Question

Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 ft 2 1.5 ft 2 1, point, 5, start text, space, f, t, end text, squared. 5 ft 5 ft 2 ft 2 ft 2 ft 2 ft 4 ft 4 ft How many sheets of tile will Manesh need to cover the whole counter?

Answer 1

Mahesh will need 12 sheets of tile to cover the whole counter.

Step-by-step explanation:

We are given that Manesh is putting a new tile on a kitchen counter. Each sheet of tile will cover 1.5 $\text{ft}^{2}$.

And the figure in the question shows the sides of the figure.

Firstly, as we can see in the figure that there are two rectangles in the given figure;

One having the length of 4 ft and the breadth of 2 ft and another having the length of 5 ft and the breadth of 2 ft.

So, we will find the area of both the rectangles. As we know that the area of the rectangle = Length of the rectangle $\times$ Breadth of the rectangle

Area of the first rectangle = 4 ft $\times$ 2 ft = 8 $\text{ft}^{2}$

Area of the second rectangle = 5 ft $\times$ 2 ft = 10 $\text{ft}^{2}$

Total area of the whole figure = 8 $\text{ft}^{2}$ + 10 $\text{ft}^{2}$

                                                  = 18 $\text{ft}^{2}$

Now, the sheets of tile Manesh need to cover the whole counter is given by =  $\frac{\text{Area of the whole figure}}{\text{Area covered by each tile}}$

=  $\frac{18 \text{ ft}^{2} }{1.5 \text{ ft}^{2}}$  = 12 sheets of tile.