Question

*The area of a rectangle when its length is (x+2) cm and breadth is (x-5) cm is 60 sq. cm. The equation representing the information is ________.*

1️⃣ ²-3x-10=0
2️⃣ ²-3x-70=0
3️⃣ ²-7x-70=0
4️⃣ ²-7x-10=0​

Answer 1

Answer:

Option 2 is correct.

Step-by-step explanation:

Because,

Given : length = x+2 area = 60 cm²

breadth = x-5

we know that ,

area of rectangle = length × breadth

60cm² = (x+2)(x-5)

60= x² - 5x + 2x -10

60 = x² -3x -10

60+10 = x²-3x

70 = x² - 3x

x²-3x-70 = 0.

Answer 2

Given,

Length of the rectangle = (x+2) cm

Breadth of the rectangle = (x-5) cm

Area of the rectangle = 60 cm²

To find,

Derivation of the necessary quadratic equation.

Solution,

We can easily solve this mathematical problem by establishing the mathematical relationship between the three given terms.

Mathematical relationship :

Area = Length × Breadth

60 = (x+2) × (x-5)

x²+2x-5x-10 = 60

x²-3x-10 = 60

x²-3x-70 = 0

(This is our necessary quadratic equation, because it matches with one of the given options in the question.)

Hence, the correct relationship will be x²-3x-70 = 0