(a) The perimeter of a rectangular field is 310 m. If the length of the field is 84 m, what is its width?

(b) The area of a rectangular painting is 5185 cm.
If the width of the painting is 61 cm, what is its length?

a.

b.

Step-by-step explanation:

a. Given,

Perimeter of rectangular field ( P ) = 310 m

Length of the field ( L ) = 84 m

Width of the field ( W ) = ?

Finding the width of the rectangular field

plug the values

⇒

Distribute 2 through the parentheses

⇒

Swap the sides of the equation

⇒

Move 168 to right hand side and change it's sign

⇒

Subtract 168 from 310

⇒

Divide both sides of the equation by 2

⇒

Calculate

⇒

Width = 71 meters

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2. Given,

Area of rectangular painting ( A ) = 5185 cm²

Width of the painting ( w ) = 61 cm

Length of the painting ( l ) = ?

Finding length of the painting

plug the values

⇒

Swap the sides of the equation

⇒

Divide both sides of the equation by 61

⇒

Calculate

⇒ cm

Length = 85 cm

Hope I helped!

Best regards !!!

8121 because

130,000 divided by 16 is 8121

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction