Question

Work out the area of a rectangle with base,

b
= 16mm and perimeter,
P
= 52mm.

Answer 1

its: 160^{2}

Explanation:

ps: (b=l)

we have : P=2 [l+w]

and : P= 52mm

so: 52=2(16mm+w)

52/2= 16mm+w

26-16=w

10=w

so: w=10

and we know that: area= w*l

so: area=10*16

so: area= 160 mm^{2}

Answer 2

A = 160 mm²

Explanation:

The area (A) of a rectangle is calculated as

A = bh ( b is the base and h the height )

Given P = 52 and P = 2(b + h) , then

2(b + h) = 52 ( divide both sides by 2 )

b + h = 26 ( substitute b = 16 )

16 + h = 26 ( subtract 16 from both sides )

h = 10

Then

A = 16 × 10 = 160 mm²