Question

The perimeter of ABCD is 26 cm

The area of PQRS is 45 cm(squares)
Find the length of AB

Answer 1

QR = 10cm and the area of that rectangle is 45cmsq so to work out PQ you do 45/10 = 4.5cm
PQ= 4.5cm

As BC = PQ they both equal 4.5cm

and the perimeter of ABCD is 26cm you so 26- (4.5x2) = 17
and 17/2 = 8.5cm

AB is 8.5cm

Answer 2

Area of rectangle= LxW
45cm2 divided by 10cm = 4.5cm
B-C= 4.5cm
Perimeter of rectangle= L+W x2
26/2 =13cm -4.5= 8.5cm