A rectangle that had the perimeter of 70 and the area of 250 has enlarged; its sides became twice as long. what is the new area and the new perimeter

The perimeter of the original rectangle is:

P = 2w + 2l = 70

The area of the original rectangle is:

A = w * l = 250

Then, by modifying the length of its sides we have:

Perimeter:

P ' = 2 (2w) + 2 (2l)

Rewriting:

P ' = 2 (2w + 2l)

P ' = 2P

P ' = 2 (70)

P ' = 140

Area:

A ' = (2w) * (2l)

Rewriting:

A ' = (2) * (2) (w) * (l)

A ' = 4 * w * l

A ' = 4 * A

A ' = 4 * 250

A ' = 1000

Answer:

the new area and the new perimeter are:

P ' = 140

A ' = 1000