Katya is making a rectangular table that is wide. The table has an area
of
How long is the table?

Ask by Weber Wilson. in the United States

Mar 27,2025

Question

Katya is making a rectangular table that is $$ \frac{3}{4} \mathrm{~m} $$ wide. The table has an area of $$ 1 \frac{1}{5} \mathrm{~m}^{2} $$ How long is the table?

UpStudy AI · Accepted Answer

To find the length of the table, we can use the formula for the area of a rectangle, which is given by:

$$
A = \text{length} \times \text{width}
$$

We know the area $$ A $$ and the width. Let's extract the known values:

- Width $$ w = \frac{3}{4} \, \text{m} $$
- Area $$ A = 1 \frac{1}{5} \, \text{m}^2 = \frac{6}{5} \, \text{m}^2 $$ (converting the mixed number to an improper fraction)

Now, we can rearrange the area formula to solve for the length $$ l $$:

$$
l = \frac{A}{w}
$$

Substituting the known values into the equation:

$$
l = \frac{\frac{6}{5}}{\frac{3}{4}}
$$

Now, let's perform the calculation.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\frac{6}{5}}{\frac{3}{4}}$$
- step1: Multiply by the reciprocal:
  $$\frac{6}{5}\times \frac{4}{3}$$
- step2: Reduce the numbers:
  $$\frac{2}{5}\times 4$$
- step3: Multiply:
  $$\frac{2\times 4}{5}$$
- step4: Multiply:
  $$\frac{8}{5}$$
The length of the table is $$ \frac{8}{5} \, \text{m} $$, which can also be expressed as $$ 1 \frac{3}{5} \, \text{m} $$ or $$ 1.6 \, \text{m} $$.
The table is $$ 1 \frac{3}{5} $$ meters long.

Katya is making a rectangular table that is wide. The table has an area
of
How long is the table?

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Katya is making a rectangular table that is wide. The table has an area of How long is the table?