Question

What are the dimensions of a rectangle that has a perimeter of 148 units and an area of 144 square units?
a.
3 by 48
c.
37 by 37
b.
2 by 72
d.
4 by 36

Answer 1

perimeter equal 2w+2l=148
area equal w*l=144

2w+2l=148
2(w+l=148 divide both sides by 2
w+l=74 ---- w=74-l this substitute inside second equation in place of wand will get

(74-l)*l = 144
74l-i^2 =144 and have got an quadratic in l what need to solve it

l^2 -74l +144 =0 factorized this is equal
(l-2)(l-72) =0

l-2=0
l=2

l-72=0
l=72

this mean that the length of rectangle is 72 and the width 2 units

hope so much that is understandably easy

Answer 2

b. will be right from choices