Question

Express the polynomial 25a²-35a+12 in the form of area of rectangle

Answer 1

Answer:

here is the answer for your question

Step-by-step explanation:

i

Answer 2

Solution:-

Given that the area of the rectangle is of the form 25a² -35a+12

To find:

The dimensions of the rectangle

Factors of the equation would be the length and breadth of the rectangle

Factorizing,

25a²-35a+12=0

→25a²-20a-15a+12=0

→5a(5a-4)-3(5a-4)=0

→(5a-4)(5a-3)=0

→5a-4=0 or 5a-3=0

→a=4/5 or 3/5

The length and breadth could be 4/5 units and 3/5 units respectively.

Area of rectangle = L × B

= 4/5 × 3/5

= 12/25 unit².

hence, Area of rectangle is 12/25 unit².

i hope it helps you..