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aliina [53]
3 years ago
5

Trapezoid QRST has two right angles. A 5-in.altitude can be drawn dividing QRDT into a rectangle and an isosceles right triangle

. The longer side of the rectangle measures 9 in. What is the area of the trapezoid?

Mathematics
2 answers:
Naya [18.7K]3 years ago
4 0

Answer:

57.5

Step-by-step explanation:

First you have to solve the rectangle with the formula A=B time height:

9 times 5 is 45, the area of the rectangle is 45

Next, solve the area of the triangle. The triangle is isosceles so the height and base are the same. The formula is base times height /2

Area=5 times 5 = 25. 25 divided by 2 is 12.5.

Now add the areas together (45+12.5). Your answer will be 57.5.

Vika [28.1K]3 years ago
3 0

Answer:

The area of the trapezoid is 57.5 square inches

Step-by-step explanation:

we know that

The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD

see the attached figure to better understand the problem

step 1

The area of rectangle is given by the formula

A=((QR)(RD)

we have

RD=5\ in ----> altitude

QR=9\ in

substitute

A=((9)(5)=45\ in^2

step 2

Find the area of the isosceles right triangle

The area of triangle is given by the formula

A=\frac{1}{2}(RD)(DS)

we have

RD=DS=5\ in ---> because is an isosceles triangle

substitute

A=\frac{1}{2}(5)(5)=12.5\ in^2

step 3

Adds the areas

A=45+12.5=57.5\ in^2

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3 years ago
Need help filling in the blanks: selling price using markup.
Xelga [282]

Answer:

Refer to the explanation.

Step-by-step explanation:

Let's take each one at a time.

1.

To solve for the complement, we simply subtract our markup rate by 100%.

100% - 30% = 70%

Now to solve for the selling price, we use the formula

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

SellingPrice=\dfrac{86.74}{0.70}

Selling Price = $123.91

2.

We do the same process with the first number.

100% - 40% = 60%

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

SellingPrice=\dfrac{220.00}{0.60}

SellingPrice = $366.67

3.

The same as the first two.

100% - 20% = 80%

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

SellingPrice=\dfrac{89.50}{0.80}

SellingPrice = $111.88

4.

Now to solve for the markup rate, we use the formula:

MarkupRate=\dfrac{Markup}{SelingPrice}

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.

Selling Price = $235.28

Cost = $199.99

Markup = $235.28 - $199.99

Markup = $35.29

Now the we know our markup, we can then solve for the markup rate using the formula.

MarkupRate=\dfrac{Markup}{SelingPrice}

MarkupRate=\dfrac{35.29}{235.28}

MarkupRate = 0.1499 x 100 = 14.99% or 15%

5.

Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}

Selling Price = $30.77

Complement = 65% or 0.65

This will then give us.

30.77=\dfrac{Cost}{0.65}

We multiple both sides of the equation by 0.65 to leave our cost alone.

30.77 x 0.65 = Cost

Cost = $20

4 0
3 years ago
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