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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 :

Kiera's estimate is less than the actual area

Explanation

Step 1

the area of a rectangle is given by

[tex]\text{Area}_{rec\tan gle}=length\cdot width[/tex]

then, let

length=28.5 ft

width=11.4 ft

replace,

[tex]\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}[/tex]

Step 2

now, with Kiera's estimation

let

length=28

widht=11

replace to find the area

[tex]\begin{gathered} \text{Area}_{rec\tan gle}=28\text{ ft }\cdot11\text{ ft} \\ \text{Area}_{rec\tan gle}=308ft^2 \end{gathered}[/tex]

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

i hope this helps you

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