139k views
2 votes
4. What expression describes the area of a rectangle with a length of (5x+2) cm and a width of (3x-4) cm?

User Pfranza
by
4.0k points

2 Answers

2 votes

⇒To find the area of a rectangle we know that we have to use the formula

A=L×W

⇒All That is requires of you is to substitute the given term in the formular and simplify if possible N.B Considering the unit of measurement.


A=(5x+2)cm*(3x-4)cm\\A=(15x^(2) -20x+6x-8)cm^(2) \\A=(15x^(2) -14x-8)cm^(2)

GOODLUCK!!

User PetrosB
by
3.4k points
5 votes

Answer:

Area = 15x² -14x - 8

Explanation:

Area of a rectangle is given by the formula :

A = Length × Width

Substituting values given in question :

A = (5x+2)(3x-4)

Expand brackets :

5x × 3x = 15x²

5x × -4 = -20x

2 × 3x = 6x

2 × -4 = -8

A = 15x² -20x +6x -8

A = 15x² -14x - 8

Hope this helped and have a good day

User Jamol
by
3.5k points