The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width
1 answer:
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Step-by-step explanation:
You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:
That is:
Or:
Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA = pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA = (24)(5) + 36
SA = 60 + 36 = 96 ft²