The diagram shows a rectangle with length 2)
(3d + 2) am and width (d+5) cm.
3d+2
d+5
a Write an expression for the perimeter of the
rectangle.
b Given that the perimeter is 30 cm, make and
solve an equation to find a
c Find the area of this rectangle
M

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

-6 is the correct option from the above given options

$15 each

step-by-step explanation:

$45/3 children= $15 each

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240