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tatyana61 [14]
3 years ago
12

The length of a rectangle is 5 centimeters more than the width. The area of the rectangle is 36 centimeters. What is the length?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0
L= W+5


A= L x W
36= (W+5) x W
36=W²+5W
36-36=W²+5W-36
W²+5W-36= 0
(W-4)(W+9)=0
W-4=0  W+9=0
W=4 W=-9
Since you cannot have a negative width you know that is not correct.

L= 4 + 5
L = 9

Check
A=L x W
36 = 9 x 4
36=36
UNO [17]3 years ago
3 0
We can represent the width as x and the length as x+5. Then we can make the area formula A=(x)*(x+5), plug in 36 for A, and solve for x

36=x^2+5x (distribute)
0=x^2+5x-36
0=(x+9)(x-4)
So x=-9 and 4 but dimensions can't be negative so x=4

So if the width is 4, then the length is 9 (4+5)

Hope this helps :)
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Read 2 more answers
1.) List all interior angles (see image)
Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0
3 years ago
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