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Answer:
The tarp which Kelly bought can not cover r the area under Kelly's tent.
Step-by-step explanation:
Given that Kelly buys a tarp to cover the area under her tent the tent is 4 ft wide and has an area of 31 square feet the tarp she bought is 5 1/3 ft by 5 3/4 feet. we have to tell can the tarp cover the area under Kelly's tent.
Let us find the area of tarp whose dimensions are
[tex]Length=5\frac{1}{3} = \frac{16}{3} ft[/tex]
[tex]Breadth=5\frac{3}{4} = \frac{23}{4} ft[/tex]
[tex]Area=\frac{16}{3}\times \frac{23}{4}=\frac{92}{3}ft^{2} = 30\frac{2}{3}ft^{2}[/tex]
The area of tarp which we calculate is less than that of area of tent which is given i.e [tex]30\frac{2}{3}ft^{2}<31ft^{2}[/tex]. Hence, the tarp which Kelly bought can not cover r the area under Kelly's tent.
Also, given width of tent is 4 ft and the width of tarp is [tex]\frac{23}{4} ft[/tex] ⇒width of tarp is more so to cover the tent we have to make the width equal by cutting and attached to the length side which results into the wastage and needed more cloth for extra stitching.
Hence, the tarp which Kelly bought can not cover r the area under Kelly's tent.
The tarp bought by Kelly cannot cover the area under her tent.
- The area of the tent = 31 square feet
- The length of the tarp = [tex]5\frac{1}{3}[/tex] feet can also be expressed as [tex]\frac{16}{3}[/tex] feet
- The width of the tarp = [tex]5\frac{3}{4}[/tex] feet can also be expressed as [tex]\frac{23}{4}[/tex] feet
Further Explanation
Hence, we have:
- The length of the tarp will = [tex]\frac{16}{3}[/tex] feet
- The width of the trap = [tex]\frac{23}{4}[/tex] feet.
To determine if the tarp can cover the area under Kelly’s tarp, then we should multiply both fractions based on the formula to calculate a given area.
A = length x width
A = [tex]\frac{16}{3}[/tex] x [tex]\frac{23}{4}[/tex] (4 crossed out 16 to gives 4)
A = 4 x 23 / 3
A = [tex]\frac{92}{3}[/tex]
A = [tex]30\frac{2}{3}[/tex] square feet.
Thus, [tex]30\frac{2}{3}[/tex] is the area of the tarp.
From the derived value ( [tex]30\frac{2}{3}[/tex] ), we can conclude that the tarp Kelly bought will not cover the 31 square feet area of the tent.
LEARN MORE:
- Numbers: brainly.com/question/2906770
- fraction brainly.com/question/6201432
KEYWORDS:
- tarp
- kelly
- cover
- feet
- 31 square feet
- area under her tent
