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the 2002 denali earthquake in alaska had a richter scale magnitude of 6.7. the 2003 rat islands earthquake in alaska had a richter scale magnitude of 7.8.
suppose an architect has designed a building strong enough to withstand an earthquake 70 times as intense as the denali quake and 30 times as intense as the rat islands quake. find which structure is strongest. explain your finding.
(show work)

The building in Rat Island  

Step-by-step explanation:

The Richter scale for the magnitude M of an earthquake is defined by the equation

where  

 I = the intensity of the quake and

I₀ = the intensity of a "standard earthquake"

1. Denali earthquake

Let's call the intensity of the quake I₁.

Then

A quake 70 times as intense would have an intensity of 70I₁.

Its magnitude would be

2. Rat Island  earthquake

Let's call the intensity of the quake I₂.

Then

A quake 30 times as intense would have an intensity of 30I₂.

Its magnitude would be

3. Building strengths

The building in Rat Island can withstand an earthquake of magnitude 9.3.

The building in Denali can withstand an earthquake only of magnitude 8.5.

The building in Rat Island is stronger.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

1/2*qr*rs

step-by-step explanation: