Question

The perimeter of a rectangle whose sides are of lengths (4m+7) units and (3m+2) units

write an algebraic expression

Answer 1

See explanation

Explanation:

The perimeter of a rectangle is equal to side 1 + side 2 + side 3 + side 4, where sides 1 and 3 are equal and sides 2 and 4 are also equal. The perimeter equation can then become 2*side 1 + 2*side 2

Using this equation and side 1 = 4m+7, side 2 = 3m+2:

perimeter = 2(4m+7) + 2(3m+2)

Simplifying:

2(4m+7) + 2(3m+2) = 8m+14 + 6m+4 = 14m+18

Depending on your need, the simplified answer (14m+18) might be better than the unsimplified answer (2(4m+7) + 2(3m+2)).

Answer 2

• 2(4m + 7) + 2(3m + 2)

Explanation:

We know that:

• Length = (4m + 7)
• Breadth = (3m + 2)

The perimeter of a shape is the sum of its boundaries. Let's represent perimeter as p.

Solution:

• p = (4m + 7) + (4m + 7) + (3m + 2) + (3m + 2)
• => p = 2(4m + 7) + 2(3m + 2)

Hence, the algebraic expression on how to find the perimeter is 2(4m + 7) + 2(3m + 2).