MCQ
Half the perimeter of a rectangular garden, whose length is $4m$ more than its width is $36m$. The area of the garden is :
- ✓$320 {~m}^2$
- B$400 {~m}^2$
- C$360 {~m}^2$
- D$300 {~m}^2$
✓
Answer
Correct option: A.
$320 {~m}^2$
Let the width be $x$
then length be $x + 4$
According to the question,
$l + b = 36$
$x + (x + 4) = 36$
$2x + 4 = 36$
$2x = 36 - 4$
$2x = 32$
$x = 16.$
The length of the garden will be $20m$ and width will be $16m$.
Area $=$ length $\times$ breath $= 20 \times 16 = 320 {~m}^2$
then length be $x + 4$
According to the question,
$l + b = 36$
$x + (x + 4) = 36$
$2x + 4 = 36$
$2x = 36 - 4$
$2x = 32$
$x = 16.$
The length of the garden will be $20m$ and width will be $16m$.
Area $=$ length $\times$ breath $= 20 \times 16 = 320 {~m}^2$
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