Question

Which has the greater area: a 6 ‐centimeter by 4 1 2 ‐centimeter rectangle or a square with a side that measures 5 centimeters? How much more area does that figure have? The has the greater area. Its area is square centimeters greater.

Answer 1

The rectangle has the greater area

Is area is
`2\ cm^(2)` greater

Explanation:

we know that

The area of rectangle is equal to

`A=(6)*(4(1)/(2))=(6)*((9)/(2))=27\ cm^(2)`

The area of the square is equal to

`A=5^(2)=25\ cm^(2)`

therefore

The rectangle has the greater area

Find the difference

`27\ cm^(2)-25\ cm^(2)=2\ cm^(2)`

Is area is
`2\ cm^(2)` greater