The first step is figuring out the length of the field. To do this, let's work backwards.
We are given the width (11m) and the perimeter (68m). We know that perimeter is measured with the formula P = 2W + 2L or W+W+L+L. All we have to do is plug in our width, 11(2) which is 22, and subtract that from the perimeter:
68 - 22 = 46 < this is the amount of both lengths combined, but in order to find the area, we only need one side. So, divide 46 by 2, and you'll get 23.
Now the area of a rectangle is found by using A = lw. So plug in your numbers and multiply 23 (length) and 11 (width). You should get 253.
Answer: 253m/D.
Answer:
x = 48
Step-by-step explanation:
multiply both sides of the equation by 4 to eliminate the fraction
x - 8 = 40 ( add 8 to both sides )
x = 48
Answer:
26
Step-by-step explanation:
you take all sides and add it up
Nope. because 10/15 can be reduced to 2/3 and 12/17 is in its final form.
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB =
≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
=
=
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC =
≈ 18.7 cm ( to 1 dec. place )