NationalHardAlgebra7–9

Setting Up a Quadratic from a Rectangle

Escrever uma Equação do Segundo Grau a Partir de um Retângulo

A rectangular vegetable patch is $3$ m longer than it is wide and its area is $54$ m². Find its dimensions.

Name the width with a letter and write the length in terms of it; the area condition then becomes an equation of degree two. Remember which of the two roots a length can be.

Solution

Step 1 of 6

1.Let the width be $x$ metres; the length is $x + 3$ .