Question

A garden is currently 4 meters wide and 7 meters long. if the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden, rounded to the nearest tenth.

Answer 1

let the increase be x m
new length=(7+x)m
new width=(4+x) m
the current area of the garden is:
Area=length*width
A=4*7=28 sq. meters
when the area is doubled we shall have:
28*2=56
thus the new area will be:
(x+7)(x+4)=56
x^2+11x+28=56
x^2+11x-28=0
solving for x we get:
x=2.1
thus the dimensions are:
length=7+2.1=9.1
width=4+2.1=6.1