Solving Inequalities - Maths IGCSE Grade 9

Question

Question:

Farmer Taylor is placing a fence around his field. He has 300 metres of fencing but this is not enough.

a) Form an inequality in terms of x

b) Solve the inequality to find the possible width of the field.

2x +5 Meters Field width and height is x meters

Answer 1

length of the field =x

width >300-x

perimeter= length+width so perimeter>300+x-x or perimeter>300

area=length*width

area>x(300-x)=300x-x²