Question

area of a square 5 square meter more than 1/2 of the area of a rectangle if the area of the square is 125 meters squared find the dimension of the rectangle if the breadth of the rectangle is 3/5 times of the length of the rectangle​

Answer 1

Answer:

hey your answer is as follows

so pls mark it as brainliest

Step-by-step explanation:

let the length of rectangle be l m and it's breadth be b m

so now here area of square=125 sq.metre

so now according to given condition

area of square=5+1/2×area of rectangle

now we know that area of rectangle=l×b

thus accordingly

125=5+1/2×(lb) (1)

now but is said that

b=3/5×l (2)

thus substituting value of b in (1)

we get

125=5+1/2×3l/5×l

=3l square/10+5

=3l square+50/10

multiplying dividing by 10 on both sides

we get 3l square+50=1250

so 3l square=1200

ie l square=400

so taking square roots on both sides

we get l=20 or l=-20

but as dimensions length are never negative

l=-20 is absurd

thus l=20 m

so substitute value of l in (2)

we get b=12 m

hence dimensions of rectangle are 20 m×12 m