The value of length AB is 45
Similar shapes share the same shape but may differ in size.
In similar shapes, corresponding angles are equal, and corresponding sides are proportional. This property allows for the comparison and scaling of figures while maintaining their geometric similarity.
Therefore, we can say that the ratio of corresponding sides of similar shapes are equal.
let AB be x
64/ 40 = 27+x/x
64x = 40(27+x)
64x = 1080 + 40x
24x = 1080
divide both sides by 24
x = 1080/24
x = 45
Therefore, the value of AB is 45