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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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Step-by-step explanation: This may look hard but it's actually super easy. All you have to do is substitute a value for x and see what you get as the y value. The first thing I would do is rearrange the equation so that the equation is in the format y = something. So the first thing you should do is subtract 6x from both sides of the equation and you should get -y=-6x+9. Right now, the y is being multiplied by -1, and to undo multiplication, you have to divide. So divide both sides of the equation by -1 (remember, what you do on one side of the equation, YOU HAVE TO DO THE SAME THING ON THE OTHER SIDE). So your new equation would be y=6x-9. Then, all you have to do is substitute a value for x and see what you get for y (x is basically the input and whatever you get for y is the output). S for example, let's say that x=0. So substitute a 0 in the equation wherever you see an x. So in this case, you would get y=(6x0)+9. Then you just simplify. So 6x0 is 0 and 0+9=9 So y=9

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