Which shaoe has a larger area, a rectangle that is 7 inches by 3/4 inch, or a square witg a side length of 2.5 inches

Answer 1

Area of a rectangle is length x width or base x height (these are different labels for the same thing)

7 x 3/4, make the whole number a fraction by placing it over 1, 7/1

Multiply the fractions 7/1 x 3/4 across the numberators (top of the fractions) and across the denominators (bottoms of the fractions

7 x 3/1 x 4 (seven times three in the numerator and 1 times 4 in the denominator)

We have 21/4, change your improper fraction to a mixed number to make the comparisons of area easier) and get 5 1/4 square inches or 5.25 square inches

The area of a square is side times side, or 2.5 x 2.5 equals 6.25 square inches

The square has a larger area (6.25 > 5.25)

Answer 2

Area is length times width, To know the answer, you will need to multiply the length and width of the rectangle and compare it to the results of the square. Remember that a square has both length and width that are the same.

Area rectangle = (7)•(3/4) = (7/1)•(3/4) - to multiply fractions just multiply straight across (7•3 goes on the top and 1•4 goes on the bottom). To compare it to the the results of the square, you will need to convert the result into a decimal. To do that divide the top by the bottom.

Area square = 2.5•2.5 - to multiply decimals just multiply then add up the number of decimal places in both numbers (1 + 1) and put that many in the answer.(counting right to left).

Then compare to see which is the bigger number.