+0

+1
39
3

The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimension of the rectangle.

a) L = 5cm; W = 18cm

b) L = 13cm; W = 8cm

c) L = 13cm; W = 5cm

d) L = 18cm; W = 5cm

L = Length

W = Width

Nov 5, 2020

#1
+1

The correct answer is     d) L = 18cm; W = 5cm

Nov 5, 2020
#2
+1

The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimension of the rectangle.

Call the length L and call the width W

Here's the relationship between their sizes:                                        L = 3W + 3

The perimeter is two times the length plus two times the width

So ...                                                                                              2(L)          + 2(W)  =  46

Remember L = 3W + 3 so substitute it in the place of L                 2(3W + 3) + 2(W)  =  46

Multiply it out                                                                                  6W + 6      + 2W    =  46

Combine like terms                                                                         8W   +   6              =  46

Subtract 6 from each side                                                              8W                         =  40

Divide both sides by 8                                                                                            W  =  5

Plug this back into L = 3W +3                                                          L  =  3(5) + 3 = 15 + 3

L  =  18

.

Nov 5, 2020
#3
+1

Thank you! This was really helpful.

SmartMathMan  Nov 5, 2020