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Solve this problem using an incorrect Babylonianformula for the area of a trapezoid, namely,b1 + b2 S1 + S2A =22A Babylonian tablet of 2000 B.C. gives two methodsfor calculating the diagonal d of a rectangle with sidesof length 40 and 10 units. The first leads (in specificnumbers) to the approximation2ab2d a+3600where a is the larger side and b is the shorter side, andthe second method to the approximationd at2aCheck the accuracy of these approximations to V1700by squaring the respective answers.

Question

#6 Please. 

Solve this problem using an incorrect Babylonian
formula for the area of a trapezoid, namely,
b1 + b2 S1 + S2
A =
2
2
A Babylonian tablet of 2000 B.C. gives two methods
for calculating the diagonal d of a rectangle with sides
of length 40 and 10 units. The first leads (in specific
numbers) to the approximation
2ab2
d a+
3600
where a is the larger side and b is the shorter side, and
the second method to the approximation
d at
2a
Check the accuracy of these approximations to V1700
by squaring the respective answers.
help_outline

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Solve this problem using an incorrect Babylonian formula for the area of a trapezoid, namely, b1 + b2 S1 + S2 A = 2 2 A Babylonian tablet of 2000 B.C. gives two methods for calculating the diagonal d of a rectangle with sides of length 40 and 10 units. The first leads (in specific numbers) to the approximation 2ab2 d a+ 3600 where a is the larger side and b is the shorter side, and the second method to the approximation d at 2a Check the accuracy of these approximations to V1700 by squaring the respective answers.

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check_circleAnswer
Step 1

To analyze the accuracy of the Babylonian tablet

Step 2

1st method: d is approximately 42.22222..., whose square is 1782.716

ab3
2x40x100
20
dxa 40+
- -40+
-40+=
3600
3600
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Image Transcriptionclose

ab3 2x40x100 20 dxa 40+ - -40+ -40+= 3600 3600

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Step 3

In the second method, d is estimated by ...

b2
100
d a+40+ 42.25
2a
80
help_outline

Image Transcriptionclose

b2 100 d a+40+ 42.25 2a 80

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