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A rectangular park must have area and perimeter
MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra
Problem
A rectangular park must have area
400
m
2
400\,\text{m}^2
400
m
2
and perimeter
80
m
80\,\text{m}
80
m
. When an equation is formed for its breadth
x
x
x
(in metres), how many distinct positive real solutions will the equation possess? (a)
2
2
2
(b)
0
0
0
(c)
1
1
1
(d)
3
3
3
Related theory
Linear Equation Word Problems
Linear Equations in One Variable
Nature of Roots
Quadratic Equations
Algebra
Nature of roots (discriminant)
Solving Quadratic Equations
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