In a garden, roses and marigolds are planted in square plots The length of the squire plot in which - Maths - Algebraic Expressions

Question

In a garden, roses and marigolds are planted in square plots The
length of the squire plot in which marigolds are planted is three
meters greater than the length of the square plot in which roses
are planted How much bigger in area is the merigold plot then the
rose plot?

Gursheen kaur. · Accepted Answer

Let the length of the side of rose plot = l metres

and the length of the side of marigold plot = (l+3) metres

Now,

Their respective areas = ${(l + 3)}^{2} a n d {(l)}^{2}$

Difference in their areas is

${(l + 3)}^{2} - {(l)}^{2} = l^{2} + 9 + 6 l - l^{2} = 9 + 6 l = 6 l + 9 = 3 (2 l + 3)$

Thus, Bigger in area is the marigold plot than the rose plot =3(2l+3)

In a garden, roses and marigolds are planted in square plots. The length of the squire plot in which marigolds are planted is three meters greater than the length of the square plot in which roses are planted. How much bigger in area is the merigold plot then the rose plot?