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

MM
Answered by Meghna M. Maths tutor

4196 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out the value of 81^(-1/4) (Non-Calculator)


For all values of x, f(x)=(x+1)^2 and g(x)=2(x-1). Show that gf(x)=2x(x+2)


Kelly is trying to work out the two values of w for which 3w - w^3 = 2 Her values are 1 and -1 Are her values correct? You must show your working.


Solve this simultaneous equation for x: 3x + y = 10, x + y = 4


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences