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lawyer [7]
3 years ago
9

HELPPPP. what is the area of the trapezoid?

Mathematics
2 answers:
expeople1 [14]3 years ago
4 0

Answer:

Option 1: 176 cm^2

Step-by-step explanation:

In order to find the area of trapezoid, we need to know the length of two sides(bases) and the vertical height to trapezoid

Here in the given trapezoid

base1 = a = 10cm

base2 = b= 12cm

and

h = 16 cm

The formula for area of trapezoid is:

Area = \frac{1}{2} (a+b)*h

Putting the values

= \frac{1}{2} (10+12) * 16

= \frac{1}{2} (22)(16)

= \frac{1}{2} * 352

Area = 176 cm^{2}

Option 1 is the correct answer..

Alex3 years ago
3 0

Answer:

Area=176cm^2

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

Area=\frac{1}{2}(Sum\:of\:bases)\times height

We substitute the values into the formula to obtain:

Area=\frac{1}{2}(12+10)\times16

We simplify the parenthesis to get:

Area=\frac{1}{2}(22)\times16

We simplify further to obtain;

Area=176cm^2

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1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
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Answer:

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Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

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What equation will calculate the value in x years?

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A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

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Replace l in the equation:

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A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
3 years ago
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