The perimeter of a rectangle is 78 m the width is 7 m less than the length find the length and the width of the rectangle
2 answers:
Answer:
length = 23 m
width = 16 m
Step-by-step explanation:
perimeter of a rectangle= p = 2*L+2*w
p = 78 =2*L+2*w
w=width
L=length
w = L-7
78 =2*L+2*w
78= 2L+2( L-7)
78= 2L+2L - 14
78+14= 4L
4L=92
L=92/4
L= 23 m = length
so we have:
w = L-7
w= 23-7= 16 m = width
Step-by-step explanation:
let the length of the rectangle be x
hence, the width of the rectangle is (x-7)
perimeter of a rectangle=2(l+w)
78=2(x+x-7)
78=2(2x-7)
78=4x-14
4x=78+14
x=92/4
therefore x or length=23 m
hence,width will be (x-7) or (23-7)=16m
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