Japhet is making small rectangular tiles for a mosaic. Each tile has an area of 7cm^(2) and is 1(1)/(4)cm wide. How long is each tile? cm

Denote Length and Width: Let's denote the length of the tile as l and the width as w. We know that the area A of a rectangle is given by the formula A = l * w. We are given that the area A is 7 cm² and the width w is 1¼ cm, which is 1.25 cm in decimal form. To find the length l, we can rearrange the formula to l = A / w.Calculate Area Formula: Now we substitute the given values into the formula: l = 7 cm² / 1.25 cm.Substitute Given Values: Performing the division, we get l = 5.6 cm. This is the length of each tile.

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Japhet is making small rectangular tiles for a mosaic. Each tile has an area of
7cm^(2) and is
1(1)/(4)cm wide.
How long is each tile?

cm

Japhet is making small rectangular tiles for a mosaic. Each tile has an area of $7 \mathrm{~cm}^{2}$ and is $1 \frac{1}{4} \mathrm{~cm}$ wide. $\newline$ How long is each tile? $\newline$ $\mathrm{cm}$

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Q. Japhet is making small rectangular tiles for a mosaic. Each tile has an area of

7 \mathrm{~cm}^{2}

and is

1 \frac{1}{4} \mathrm{~cm}

wide.

\newline

How long is each tile?

\newline

\mathrm{cm}

Denote Length and Width: Let's denote the length of the tile as $l$ and the width as $w$ . We know that the area $A$ of a rectangle is given by the formula $A = l \times w$ . We are given that the area $A$ is $7\,\text{cm}^2$ and the width $w$ is $1\frac{1}{4}\,\text{cm}$ , which is $1.25\,\text{cm}$ in decimal form. $\newline$ To find the length $l$ , we can rearrange the formula to $w$ $0$ .
Calculate Area Formula: Now we substitute the given values into the formula: $l = \frac{7 \, \text{cm}^2}{1.25 \, \text{cm}}$ .
Substitute Given Values: Performing the division, we get $l = 5.6\,\text{cm}$ . This is the length of each tile.