the area of rectangle is 40cm and its perimeter is 26cm. What are the dimensions of rectangle
Answers
Answered by
2
Step-by-step explanation:
Perimeter of reactangle=2(l+b)
Area of rectangle=l*b
Perimeter=2(l+b)
26=2(l+b)
l+b=26/2
l+b=13
8 and 5 are the numbers
26=2*8+2*5
26=16+10
26=26
A=8*5
A=40 square cm
you can do all the algebra you want but it comes down to what I wrote
26=2l+2w
13=l+w
l=13-w
A=lw
40=(13-w)(w)
40=13w-w^2
w^2-13w+40=0
factor (what 2 numbers multiply to make 40 and add to make 13 ?)
(w-8)(w-5)=0
w-8=0
w=8
w-5=0
w=5
Answered by
2
Answer:
perimeter =2(l+b)=26
area =lb=40
therefore length =8,breath=5
Similar questions