Question

10. The area of a rectangle is found by multiplying the length by the width. A certain rectangular lot has a length of 28.5 feet and a width of 11.4 feet. Kiera estimates the area by multiplying 28 x 11. Would Kiera's estimate be more or less than the actual area?

Answer 1

Kiera's estimate is less than the actual area

Step-by-step explanation

Step 1

the area of a rectangle is given by

`\text{Area}_(rec\tan gle)=length\cdot width`

then, let

length=28.5 ft

width=11.4 ft

replace,

`\begin{gathered} \text{Area}_(rec\tan gle)=length\cdot width \\ \text{Area}_(rec\tan gle)=28.5ft\cdot11.4\text{ ft} \\ \text{Area}_(rec\tan gle)=324.9ft^2 \end{gathered}`

Step 2

now, with Kiera's estimation

let

length=28

widht=11

replace to find the area

`\begin{gathered} \text{Area}_(rec\tan gle)=28\text{ ft }\cdot11\text{ ft} \\ \text{Area}_(rec\tan gle)=308ft^2 \end{gathered}`

so, Kiera's estimate is less than the actual area.

i hope this helps you