Question

Japhet is making small rectangular tiles for a mosaic each tile has an area of 7 cm 2 7cm 2 7, start text, c, m, end text, squared and is 1 1 4 cm 1 4 1 ​ cm1, start fraction, 1, divided by, 4, end fraction, start text, c, m, end text wide.

Answer 1

To find the length of the rectangular tiles Japhet is making, the area (7 cm²) is divided by the width (1 ¼ cm), resulting in a tile length of 5.6 cm.

Step-by-step explanation:

The student is asking about finding the dimensions of a rectangle when given the area and the width. In this case, Japhet is making small rectangular tiles each with an area of 7 cm² and a width of 1 ¼ cm. To find the length of each tile, we will divide the area by the width.

Step-by-step solution:

1. Write down the given area of the tile, which is 7 cm².
2. Write down the given width of the tile, which is 1 ¼ cm or 1.25 cm.
3. Divide the area by the width to find the length: Length = Area ÷ Width
4. Calculate the length: Length = 7 cm² ÷ 1.25 cm
5. Simplify to find the length: Length = 5.6 cm

So, each of Japhet's mosaic tiles is 1 ¼ cm wide and 5.6 cm long.