Question

Work out the area of a rectangle with base,

b
= 26mm and perimeter,
P
= 68mm.

Please help me

Answer 1

208 mm

Explanation:

A = Area. P = Perimeter. B = base.

Let's say H = Height

P = 2B + 2H

Now we already know the perimeter is 68 mm, so P = 68:

68 = 2B + 2H

In addition, we know that the base is 26 mm, so B = 26:

68 = 2(26) + 2H

68 = 52 + 2H

16 = 2H ==> subtract 52 on both sides

H = 8 ==> the height of the rectangle is 8 mm

A = B * H

A = 26 * 8 ==> plugin B=26 and H=8 into the Area formula

A = 208 ==> simplified

Hence, the area is 208 mm.