an engineer presented the floor plan of a building with the given dimensions 9x³y⁴ length and 4x²y³ find it's floor area
Answer (1)
Step-by-step explanation:The floor area of the building can be calculated by multiplying its length and width.Given:Length (L) = 9x^3y^4Width (W) = 4x^2y^3Step-by-step calculation: * Write down the formula for the area of a rectangle: Area (A) = Length \\times Width A = L \\times W * Substitute the given expressions for length and width into the formula: A = (9x^3y^4) \\times (4x^2y^3) * Multiply the numerical coefficients: Multiply 9 by 4: 9 \\times 4 = 36 * Multiply the x terms: When multiplying terms with the same base, you add their exponents: x^3 \\times x^2 = x^{(3+2)} = x^5 * Multiply the y terms: Similarly, for the y terms: y^4 \\times y^3 = y^{(4+3)} = y^7 * Combine all the results to get the total floor area: A = 36x^5y^7Therefore, the floor area of the building is 36x^5y^7.
