Chapter 9: Q4. (page 600)

Write an expression for the area of the rectangle below.
$F 10 b^{5} c^{5} - 3 b c G 10 b^{5} c^{5} - 15 b^{2} c^{3} H 2 b^{5} c^{5} - 3 b^{2} c^{3} J 10 b^{4} c^{6} - 15 b c^{2}$

Short Answer

Expert verified

The area of the rectangle is $10 b^{5} c^{5} - 15 b^{2} c^{3}$ .

Step by step solution

Step 1. Write the formula of the area of a rectangle.

Area of rectangle is given by $A = length \times width$ .

Step 2. Substitute.

Substitute $2 b^{4} c^{3} - 3 b c$ for length and $5 b c^{2}$ into $A = length \times width$ .

$A = (2 b^{4} c^{3} - 3 b c) 5 b c^{2}$

Step 3. Simplify.

Simplify the above-obtained expression.

$A = (2 b^{4} c^{3} - 3 b c) 5 b c^{2} = 2 b^{4} c^{3} \cdot 5 b c^{2} - 3 b c \cdot 5 b c^{2} = 10 b^{5} c^{5} - 15 b^{2} c^{3}$

Therefore, the area of the rectangle $10 b^{5} c^{5} - 15 b^{2} c^{3}$ completely matches option G. Option G is the required answer.

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Write an expression for the area of the rectangle below.
$F 10 b^{5} c^{5} - 3 b c G 10 b^{5} c^{5} - 15 b^{2} c^{3} H 2 b^{5} c^{5} - 3 b^{2} c^{3} J 10 b^{4} c^{6} - 15 b c^{2}$

Short Answer

Step by step solution

Step 1. Write the formula of the area of a rectangle.

Step 2. Substitute.

Step 3. Simplify.

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Write an expression for the area of the rectangle below.F10b5c5−3bcG10b5c5−15b2c3H2b5c5−3b2c3J10b4c6−15bc2

Short Answer

Step by step solution

Step 1. Write the formula of the area of a rectangle.

Step 2. Substitute.

Step 3. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Logic and Functions

Geometry

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Write an expression for the area of the rectangle below.
$F 10 b^{5} c^{5} - 3 b c G 10 b^{5} c^{5} - 15 b^{2} c^{3} H 2 b^{5} c^{5} - 3 b^{2} c^{3} J 10 b^{4} c^{6} - 15 b c^{2}$