Square ABCD has length (x+3)cm and area 10cm^2. Show x^2 + 6x = 1

First sketch square ABCD. Split length into 3cm and then xcm for side AB and the same for side AD. Split the area of this square into 4 segments (a, b, c and d) such that a is a 3cm by 3cm square, b and c are 3cm by xcm rectangle s and d is a xcm by xcm square.Area of a, b, c and d sum to 10cm^2.Area of a : 3 x 3 = 9 Area of b : 3 x 'x' = 3xArea of c : 3 x 'x' = 3xArea of d : 'x' x 'x' = x^2x^2 + 6x + 9 = 10x^2 + 6x = 1

Answered by Meghna M. Maths tutor

3984 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

5x+3=2x+9 What is the value of x?


Solve (5-x)/2= 2x-7


How can I know whether to multiply or add probabilities?


At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences