Question

the rectangle to the right is composed of squares that measure 2 1/4 inches on each side. What is the area in square inches ?It's a rectangle that is 4 squares across and 3 squares down.

Answer 1

Given:

The number of square boxes in the horizontal direction is 4.

The number of square boxes in the vertical direction is 3.

The side measure of each square box is,

$2\frac{1}{4}inches$

To find: The area of the rectangle.

Explanation:

The formula of the area of the rectangle is,

$A=l\times b$

Here,

$\begin{gathered} l=4\times2\frac{1}{4} \\ l=4\times\frac{9}{4} \\ \Rightarrow l=9inches \\ b=3\times2\frac{1}{4} \\ b=3\times\frac{9}{4} \\ \Rightarrow b=\frac{27}{4}inches \end{gathered}$

The area of the rectangle is,

$\begin{gathered} A=9\times\frac{27}{4} \\ =\frac{243}{4} \\ =60.75\text{ }square\text{ inches} \end{gathered}$

Final answer:

The area of the rectangle is 60.75 square inches.