Question

Half the perimeter of rectangular garden whose length is 7m more than its width is 51m.
Find the area of garden.​

Answer 1

Step-by-step explanation:

Half perimeter=51m

full=2×51 m=102 m

now let the width=x m

then, length= (x+7)m

Perimeter of rectangle=2 (l+b)

2 (x+7+x) m=102 m

2 (2x+7)m=102 m

(4x+14)m=102 m

4x m =88 m

x= 22 m

So width=x=22 m

length=x+7=22+7= 29 m

Area of rectangle= l×b=29×22=638 metre square