Question

Work out the area of a rectangle with base, b = 16mm and perimeter, P = 52mm.

Answer 1

Answer:

A = 160 mm²

Step-by-step 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

Answer 2

Answer:

its: 160^{2}

Step-by-step 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}