Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

The value of x (length of rectangular field) is :

Options:

150m

400 m

200 m

320 m

Correct Answer:

200 m

Explanation:

Let length = x

let breadth = y

from question $(x-50)(y+50)=xy$

so $xy-50x+50y-2500=xy$

$x-y=50$   ....(1)

$(x-10)(y-20)=xy-5300$

$⇒xy-20x-10y+200=xy-5300$

$2x+y=550$   ...(2)

eq. (2) + eq. (1)

$⇒3x=600⇒x=200m$