Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33cm^(2) and a width of 7(1)/(2)cm. What is the height of this painting? cm

Identify Formula: Identify the formula for the area of a rectangle. The area (A) of a rectangle is given by the formula A = width (w) times height (h). A = w * hGiven Values: Given values for the area and width. The area (A) of Nisha's painting is 33 cm², and the width (w) is 7.5 cm (since 7(1)/(2) cm is the same as 7.5 cm).Solve for Height: Solve for the height (h) using the area formula. Substitute the given values into the area formula and solve for height (h). 33 cm² = 7.5 cm * hDivide and Isolate: Divide both sides of the equation by the width to isolate the height. h = 33 cm² / 7.5 cmPerform Division: Perform the division to find the height. h = 4.4 cm

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Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of
33cm^(2) and a width of
7(1)/(2)cm.
What is the height of this painting?
cm

Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of $33 \mathrm{~cm}^{2}$ and a width of $7 \frac{1}{2} \mathrm{~cm}$ . $\newline$ What is the height of this painting? $\newline$ $\mathrm{cm}$

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Q. Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of

33 \mathrm{~cm}^{2}

and a width of

7 \frac{1}{2} \mathrm{~cm}

\newline

What is the height of this painting?

\newline

\mathrm{cm}

Identify Formula: Identify the formula for the area of a rectangle. $\newline$ The area $A$ of a rectangle is given by the formula $A = \text{width} (w) \times \text{height} (h)$ . $\newline$ $A = w \times h$
Given Values: Given values for the area and width. $\newline$ The area $A$ of Nisha's painting is $33\,\text{cm}^2$ , and the width $w$ is $7.5\,\text{cm}$ (since $7\frac{1}{2}\,\text{cm}$ is the same as $7.5\,\text{cm}$ .)
Solve for Height: Solve for the height $h$ using the area formula. $\newline$ Substitute the given values into the area formula and solve for height $h$ . $\newline$ $33 \, \text{cm}^2 = 7.5 \, \text{cm} \times h$
Divide and Isolate: Divide both sides of the equation by the width to isolate the height. $\newline$ $h = \frac{33 \, \text{cm}^2}{7.5 \, \text{cm}}$
Perform Division: Perform the division to find the height. $h = 4.4\, \text{cm}$