This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
Answer:
x = 6, y = 4
Step-by-step explanation:
The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.
- DH = HF ⇒ x + 2 = 2y
- GH = HE ⇒ 4x - 3 = 5y + 1
x + 2 = 2y,
4x - 3 = 5y + 1
x = 2y - 2,
4(2y - 2) - 3 = 5y + 1
x = 2y - 2,
8y - 8 - 3 = 5y + 1
x = 2y - 2,
8y - 11 = 5y + 1
x = 2y - 2,
8y - 5y = 11 + 1
x = 2y - 2,
3y = 12
x = 2y - 2,
y = 4
x = 2*4 - 2,
y = 4
x = 6,
y = 4
Answer:
30
Step-by-step explanation:
• Expand (2a + b)²:
(2a + b)²
= (2a + b) · (2a + b)
Multiply out the brackets by applying the distributive property of multiplication:
= (2a + b) · 2a + (2a + b) · b
= 2a · 2a + b · 2a + 2a · b + b · b
= 2²a² + 2ab + 2ab + b²
Now, group like terms together, and you get
= 2²a² + 4ab + b²
= 4a² + 4ab + b² <——— expanded form (this is the answer).
I hope this helps. =)
Tags: <em>special product square of a sum algebra</em>
