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Inessa05 [86]
2 years ago
13

Kate and John ran a marathon, a distance of 26.2 miles. Kate's time was 4 hours, 36 minutes. John's time was 4.6 hours. Compare

their running rates. Explain your reasoning.
Mathematics
1 answer:
Murljashka [212]2 years ago
7 0
John's time was the same as Kate's time since 4.6 hours is equal to 4 hours and 36 minutes
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<u>Solution-</u>

From the figure,

AE = 2.4

EB = 2.8

BC = 11.7


Area of rectangle 1 = 8.68 sq.in

\Rightarrow FH \times HI=8.68

\Rightarrow EB \times HI=8.68  (∵ sides of the rectangle 2)

\Rightarrow 2.8 \times HI=8.68

\Rightarrow HI=3.1


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\Rightarrow \frac{1}{2}\times AE \times EG= 6.48

\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48

\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48  (∵ sides of the rectangle 1)

\Rightarrow EF+3.1= 5.4

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The area of Rectangle 2,

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The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2

= 6.48+8.68+8.82+6.44=30.42 sq.in


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