Question

The table shows the length and width of proportional rectangles. Length (in inches) 8 12 24 32 width (in inches) 10 15 30 40 using the table, find the width of a rectangle that has a length of 72.

Answer 1

On solving the problem, we get 90 inches as the width of a rectangle that has a length of 72.

What exactly is a rectangle?

The parallel sides of a rectangle are equal to one another, and each of its four vertices is 90 degrees, making it a type of quadrilateral. As a result, it is also referred to as an equiangular quadrilateral. The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

As the proportion are same,

$\frac{a}{b} = \frac{c}{d}$

And here,

length of first rectangle, a

length of second rectangle, c

Width of first rectangle, b

Width of second rectangle, d

$\frac{8}{10} = \frac{72}{\alpha }$

$\alpha = \frac{72 X 10}{8}$

$\alpha = 90 inches$

Answer is 90 inches

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