6) The semi perimeter of the rectangular garden is 36 cm. the length of
the garden is 4cm more than its breadth. Find the area of garden
Answers
Step-by-step explanation:
Let the width of the garden = x meter
Then length = (x + 4) meter
Half perimeter = 36 m
So perimeter of garden = (2 × 36) = 72 meters
According to the question
⇒2(l + b) = 72
⇒2(x + x + 4) = 72
⇒2x + 2x + 4 = 74 ⇒4x = 64⇒x = 16 meters
Hence,the width of the garden = 16 meters
The length of the garden = (16 + 4) = 20 meters
Hope it helps you mate..
Step-by-step explanation:
let the breadth of garden be x cm
length of garden = (x + 4) cm
Perimeter of garden = 36×2
2(x+x+4) = 72
2(2x+4) = 72
2x+4 = 72/2
2x+4 =36
2x =36–4
2x = 32
x = 32/2
x = 16
Breadth of garden = 16 cm
length of garden = x+4
=16+4
=20 cm
Area of garden = length × breadth
= 16 × 20
= 320 cm²