Question

The perimeter of a rectangular metal plate is 36 dm and its area is 80
dm^2. Find its dimensions. (Relate the measures to the sum and product of a
quadratic equation.)​

Answer 1

Answer:

Step-by-step explanation:

Perimeter=36dm

Area=80dm^2

now,

p=2(l+b)

36=2l+2b

18=l+b

b=18-l

again,

Area=l*b

80=l(18-l)

80=18l-l^2

l^2-18l+80=0

l^2-8l-10l+80=0

l(l-8)-10(l-8)=0

(l-10)(l-8)=0

If,

Length=8

Then,

Breadth=18-l =18-8 =10