Question

the length of a rectangle is more than 10m of its breath . its area is 375cm then what is the breath

Answer 1

Let the breadth be x

Length = x + 10

Solve x:

Given that the area is 375 cm²

Area = length x breadth

x(x - 10) = 375

x² -10x - 375 = 0

(x - 25) (x + 15) = 0

x = 25 0r x = -15 (rejected, length cannot be negative)

Find the breadth:

Breadth = x = 25 cm

Answer: The breadth is 25 cm

HURRAY!

Answer 2

$\bf \large \it{Hey \: User!!!}$

according to the question, the length of the rectangle is 10m more than it's breadth.

let the breadth of the rectangle be x. therefore Length of the rectangle = 10 + x

given the area of the rectangle = 375cm²

we know the formula solving for the area of a rectangle.. that's length × breadth.

therefore length × breadth = 375cm²
>> (x + 10)(x) = 375cm²
>> x² + 10x = 375cm²

>> x² + 10x - 375 = 0
>> x² + ( 25x - 15x ) - 375 = 0
>> x² + 25x - 15x - 375 = 0
>> x (x + 25) - 15 (x + 25) = 0
>> ( x + 25 ) ( x - 15 )

>> ( x + 25 ) = 0
>> x = -25

>> ( x - 15 ) = 0
>> x = 15

now, we got two solution.. one is x = -25 and another one is x = 15

as we know that dimensions of a rectangle can't be negative since distance can never be negative. so the breadth of the rectangle can't be a negative number.

hence, the breadth of the rectangle is 15cm.

$\bf \large \it{Cheers!!!}$