Question

Can someone help me please?

The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?

Strategy:

why did you choose this strategy:

Answer 1

Answer: 4368 square feet

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Step-by-step explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

• In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
• In the upper right corner, we have an area of 70*6 = 420
• In the lower left corner, we have an area of 50*8 = 400
• In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368