The perimeter of a rectangle is 58 inches . find the width of the rectangle if the lengh is 20 in

Mathematics

1 answer:

Sonbull [250]4 years ago

3 0

Answer:

The width of the rectangle is 9 inches.

Step-by-step explanation:

The formula of perimeter is Perimeter = 2·length + 2·width. The length is 20. If we call "x" to the width.

Perimeter = 2·(20) + 2·x ⇒ Perimeter = 40 + 2x ⇒ 58 =40 + 2x ⇒

58 -40 =2x ⇒ 18 = 2x ⇒18/2 = x ⇒ 9 = x.

The width of the rectangle is 9 inches.

You might be interested in

What are the values of m and e in the diagram below?

elena55 [62]

Please add the picture.

4 0

3 years ago

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che

guapka [62]

That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)

PROOF: y + 5x = x² + 10
 (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10


0 = x2 – 9x + 20 (liked terms are grouped and simplified)

PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20

Solving:
x² - 9x + 20 = 0

x² - 5x - 4x + 20 = 0

(x - 5) (x - 4) = 0

⇒ x = 4 (as question says) OR x = 5

8 0

4 years ago

Read 2 more answers

Which should be filed immediately before 32754? A) 32768 B) 32636 C) 31070 D) 3275 E) 32658

victus00 [196]

The number that will be immediately filled before 32754 is 32658

Option E is correct.

8 0

4 years ago

Read 2 more answers

2. The size of a conC. 3 times the size of a cylinder is:

tigry1 [53]