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3 years ago

The formula for the area of a rectangle is A = lw. What

Mathematics

2 answers:

emmasim [6.3K]3 years ago

7 0

Answer:

20 square units

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

In this problem

$L=WX=ZY\\W=WZ=XY$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance WX

we have

W(-3,1), X(3,3)

substitute the values in the formula

$d=\sqrt{(3-1)^{2}+(3+3)^{2}}$

$d=\sqrt{(2)^{2}+(6)^{2}}$

$d_W_X=\sqrt{40}\ units$

Find the distance XY

we have

X(3,3),Y(4,0)

substitute the values in the formula

$d=\sqrt{(0-3)^{2}+(4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(1)^{2}}$

$d_X_Y=\sqrt{10}\ units$

Find the area of rectangle

$A=(WX)(XY)$

substitute the values

$A=(\sqrt{40})(\sqrt{10})=20\ units^2$

Flauer [41]3 years ago

6 0

Answer:

Step-by-step explanation:

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the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l

Alexxandr [17]

It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

$\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in$

$\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in$

You can after that round the length to be 22.517 in

Hope you got the idea