Find the area of the rectangle, in cm, with width 4x and length (y+5). Then calculate the area for x = 7 and y = 8.

To start, we need to state that the area of a rectangle is the length multiplied by the width. Therefore, the area will be 4x multiplied by (y+5). Now to do this we need to expand the bracket. To expand the bracket we multiply the outside term by each term inside the bracket.First, 4xy = 4xy.Second, 4x5 = 20x.Then we add the two terms, because of the plus sign inside the bracket, giving us a total area, in cm, of 4xy + 20x.We are then asked to calculate this area for x = 7 and y = 8. We do this simply by substituting these value into the area we just worked out.Giving, 478 + 20*7 = 224 + 140 = 364cm2

TP
Answered by Toby P. Maths tutor

2867 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rationalise the following: { 5 } / { 3 - sqrt(2) }


Show that 0.81 reocurring = 9/11


Using the quadratics formula find the two solutions to x^2 + 3x + 2 = 0.


Solve the simultaneous equations: 3x + y = 19 and x - 2y = -3


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:

© 2025 by IXL Learning