The diagram shows a garden in the shape of a rectangle. All measurements are in metres. The length of the rectangle: 4+3x and the width of the rectangle: x+6. The perimeter of the garden is 32 metres. Work out the value of x

Perimeter of a rectangle is the sum of all the sides. Therefore: 2(4+3x) + 2(x+6) = 32. Then, you expand: 8+6x+2x+12=32. Then, 8x+20=32. Finally, 8x=12, meaning that x=3/2. 

SP
Answered by Sayakki P. Maths tutor

15554 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to do simultaneous equations?


1) 3x + y = 11 2) 2x + y = 8


Which of the following lines is not perpendicular to y=2x+1? (A) y+1/2x=6 (B) 2y=4-x (C) 2x+y=4 (D) y=-1/2(7+x)


15 machines work at the same rate, 15 machines can complete an order in 8 hours, however 3 of the machines break down after 6 hours. The other machines continue until the order is complete. In total how many hours does EACH machine work? (3 mark question)


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning