Question

Here are two similar rectangles.4 cm4.8 cm7 cmWork out the area of the larger rectangle.I​

Answer 1

The area of the larger rectangle is
`\( 33.6 \, \text{cm}^2 \)`, calculated by multiplying its length of
`\( 7 \, \text{cm} \)` by the width of
`\( 4.8 \, \text{cm} \).`

Step-by-step explanation:

We can calculate the area of a rectangle by multiplying its length and width. In this case, the larger rectangle has a length of
`\( 7 \, \text{cm} \)` and a width of
`\( 4.8 \, \text{cm} \)`. To find the area
`(\( A \))`, we use the formula
`\( A = \text{length} * \text{width} \)`. Substituting the given values, we get
`\( A = 7 \, \text{cm} * 4.8 \, \text{cm} = 33.6 \, \text{cm}^2 \)`. This is our final answer.

Understanding the process is crucial. We multiply the length by the width because the area of a rectangle represents the space it occupies, and multiplying these two dimensions gives us this measure. The units for area are always squared units, which in this case is
`\( \text{cm}^2 \).`

In summary, the larger rectangle's area is
`\( 33.6 \, \text{cm}^2 \)`, and we arrive at this by multiplying its length and width. This fundamental formula is essential for finding the area of various geometric shapes and is a key concept in mathematics.