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

3913 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you write 2,764,000 in standard form?


In a cinema, male to female ratio is - 1:3. The ratio of the females, who like popcorn to females who don't like popcorn is 2:1. 10 girls don't like popcorn. How many people are there in the cinema altogether?


If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?


Express x*2 + 10x - 3 in the form (x+p)*2 + q


We're here to help

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