Please help!!!!!!!!!!

Use the distance formula to find the area of the rectangle

nasty-shy [4]

Answer:

Therefore Area of Rectangle is 50 unit².

Step-by-step explanation:

Given:

Let the vertices of a Rectangle be

A ( -1 , 7)

B ( 4 , -3)

C ( 0 , -5)

D ( -5 ,5)

To Find:

Area of Rectangle ABCD = ?

Solution:

First we will find the Length and Width of Rectangle by Distance Formula ,

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((4-(-1))^{2}+(-3-7)^{2} )}$

$l(AB) = \sqrt{((5)^{2}+(-10)^{2} )}\\l(AB)=\sqrt{125}=5\sqrt{5}\ unit$

Similarly for BC we will have,

$l(BC) = \sqrt{((0-4)^{2}+(-5-(-3))^{2} )}\\l(BC)=\sqrt{20}=2\sqrt{5}\ unit$

Now

$Length=AB =5\sqrt{5}\ unit\\Width=BC=2\sqrt{5}\ unit$

Now Area of Rectangle is given by

$\textrm{Area of Rectangle}=Length\times Width$

Substituting the values we get

$\textrm{Area of Rectangle ABCD}=5\sqrt{5}\times 2\sqrt{5}=10\times 5=50\ unit^{2}$

Therefore Area of Rectangle is 50 unit².

4 0

3 years ago

Which pair of measurements is equivalent?

NNADVOKAT [17]

Let's look at each pair and change it so the first one in the pair will be what the second one will be converted to.
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to (xy)z?<br><br>A (x+y)+z<br>B 2z(xy)<br>C x(yz)<br>D x(y+z)

qwelly [4]

Answer:

c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.05 per squ

jolli1 [7]

Sal will pay $77.78 to tile his entryway

<h3><em><u>SOLUTION:</u></em></h3>

The image of the question is attached below.

Given each unit length = 1 foot

Tile cost per square feet = $1. 65

To find the area, split the floor shape into two shape.

One is trapezoid and the other is parallelogram.

Let's count the grid given.

The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.

The base and height of the parallelogram are 4 ft and 4 ft respectively.

Area of the trapezoid =1/2 ×(sum or parallel sides)× height

=1/2× (7+4)×5

=1/2×11×5

Area of the trapezoid = 27.5 sq.ft

Area of the parallelogram = base × height

= 4 ft × 4 ft

Area of the parallelogram = 16 sq. ft

Total area = 27.5 sq. ft + 16 sq. ft

= 43.5 sq. ft

Cost of area per sq. ft = $1.65

Cost of area 43.5 sq. ft = 43. 5 × 1.65

= $71.775

= $71.78

Hence Sal will pay $71.78 to tile his entryway.

4 0

3 years ago

???????????????????££$£"$"

djverab [1.8K]

The answer to this question is 3x-5y

7 0

2 years ago