SOLUTION: the length of a photograph is 8 cm more than its width. It has an area of 20cm2. Write an equation and solve to find the dimensions of the photograph

Algebra.Com
Question 925928: the length of a photograph is 8 cm more than its width. It has an area of 20cm2. Write an equation and solve to find the dimensions of the photograph
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
L = w + 8
Lw = 20
---
(w + 8)w = 20
ww + 8w - 20 = 0
---
the above quadratic equation is in standard form, with a=1, b=8 and c=-20
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 8 -20
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
w = 2
w = -10
---
the negative root doesn't fit the problem statement, so use the positive root:
---
answer:
w = 2 cm
L = 10 cm
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

RELATED QUESTIONS

A rectangle has a perimeter of 34 cm and an area of 52 cm. Its length is 5 more than... (answered by oberobic)
A photograph has an area of 24 square inches and the length is 2 inches more than the... (answered by macston,addingup)
If the area of a rectangle is 20cm2 what would its length and its width... (answered by solver91311)
a rectangular photograph has an area of 40 inches. If the width of the photograph is 3... (answered by ikleyn)
A length of the photograph is 7 cm longer than the width. Its area is 30 cm^2. Find the... (answered by JBarnum)
A rectangle has a perimeter of 86 and an area of 252. Its length is 8 more than 4 times... (answered by addingup)
The width of a rectangle is x cm. The length is 1•5 cm more than the width. The... (answered by josgarithmetic)
A rectangle has length (x+5)cm and width (x-2)cm. Its area is 60 cm^2. Write a quadratic... (answered by josgarithmetic)
The length of a rectangle is 15 cm longer than the width. when its width is increased by... (answered by amoresroy)