Work out the area of a rectangle with base, b = 14mm and perimeter, P = 52mm.​

Accepted Solution

Area of rectangle is 168[tex]mm^2[/tex]Step-by-step explanation:Given, Base = 14mmPerimeter = 52mm We will find length first to calculate area of rectangle.Let l be the length of rectangle.As we know,Perimeter = 2(length + base)52=2(l+14)[tex]Dividing\ both\ sides\ by\ 2\\\frac{52}{2}=\frac{2}{2}(l+14)\\26=l+14\\Subtracting\ 14\ from\ both\ sides\\l+14-14=26-14\\l=12mm[/tex]Now,Area of rectangle= Length * Base[tex]Area\ of\ rectangle = 14*12\\Area\ of\ rectangle= 168\ mm^{2}[/tex]Area of rectangle is 168[tex]mm^2[/tex]Keywords: Area, RectanglesLearn more about areas at:brainly.com/question/4703807brainly.com/question/4703820#LearnwithBrainly