Answer: 1400
Step-by-step explanation: you add 40 and 30 then you times it by 20 because it said " what is the area of the part that's painted blue" it's trying to throw you off by having the other numbers by the window and the door.
An isosceles triangle is a type of triangle where 2 sides are equal.
Picture out 2 triangles with the same base length.
On the first triangle, its legs are twice the length of the legs of the second triangle.
To put it into variables, let:
B = the same base length of the two triangles
A = the length of one leg the smaller triangle
2A = the length of one leg of the bigger triangle
Given: Perimeter of smaller triangle = 23cm
Perimeter of bigger triangle = 43cm
Recall the formula for solving the perimeter of a triangle:
Perimeter = A + B + C
where, A, B, and C are the legs of the triangle
Since the triangle involved is an isosceles triangle, therefore, we can say that
Perimeter = 2A + B , 2 legs are equal ( A=C )
Substituting the given perimeter value to the formula.
23cm = 2A + B ⇒ equation 1 (smaller triangle)
43cm = 2(2A) + B ⇒ equation 2 (bigger triangle)
Simplifying equation 2.
43cm = 4A + B
(rearranging) B = 43cm - 4A ⇒ equation 3
Substituting equation 3 to equation 1:
(equation 1) 23cm = 2A + B
23cm = 2A + (43cm - 4A)
23cm = -2A + 43cm
2A = 43cm - 23cm
2A = 20cm ⇒ length of the leg of the bigger triangle
A = 10cm ⇒ length of the leg of the smaller triangle
To solve for the base length, just substitute the value of A to equation 3
(equation 3) B = 43cm - 4A
B = 43cm - 4(10cm)
B = 3 cm
Final Answer:
• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm
No. Since you can only draw from the corners to get triangles, you will end up with two right triangles because of the corners. If it is a right triangle, it can obviously not be obtuse.
Answer:
A 846 square inches
Step-by-step explanation:
Use the net:
Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.
Rectangle 2: 21 in by 3 in
Rectangle 3: 21 in by 3 in
total area = sum of areas of 3 rectangles above.
total area = (48 in * 15 in) + 2(21 in * 3 in)
total area = 720 in^2 + 126 in^2
total area = 801 in^2
Answer: A 846 square inches
Step-by-step explanation:
emily: 10(5/8) = 6 1/4 or 6.25 pounds left
10- 6.25 = 3.75 used
Frances : 10(2/5) = 4 pounds left
10-4 = 6 pounds used
Bills : 10(2/5) = 4 pounds left
10-4 = 6 pounds used
add them together
15.75 or 15 3/4 pounds of soil in the first flower bed
