[1]
A1 = (h (a + b)) / 2
A1 = (21 (17 + 32)) / 2
A1 = (21 x 49) / 2
A1 = 1,029 / 2
A1 = 514.5 mm²
[2]
A2 = (b x h) / 2
A2 = (11 x 9) / 2
A2 = 99 / 2
A2 = 49.5 mm²
[3]
The area of the shaded region =
A1 - A2 =
514.5 mm² - 49.5 mm² =
465 mm²
The answer is 465 mm².
Answer:
x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+6=2(2x−3)
Step 1: Simplify both sides of the equation.
5x+6=2(2x−3)
5x+6=(2)(2x)+(2)(−3)(Distribute)
5x+6=4x+−6
5x+6=4x−6
Step 2: Subtract 4x from both sides.
5x+6−4x=4x−6−4x
x+6=−6
Step 3: Subtract 6 from both sides.
x+6−6=−6−6
The area of a parallelogram is the base times the height so:
A=bh, in this case:
A=hx
x=A/h, we are told that A=120mm^2 and h=10mm so
x=120mm^2/10mm
x=12mm
The answer to the question
