1. The height of the triangular tree guard is (x - 1)(x + 4)/(x + 1) units
2. To find the height of the triangular tree guard, I used the formula for the area of a triangle which is A = (1/2)bh, where A is area, b is base and h is height. Since the value of A and b are given, I substituted it in the formula to solve for the value of h.
Question:
Your school organized a tree planting activity participated by all learners and teachers in Grade 7 to 10. To protect the newly planted trees from the harsh environment, a triangular tree guard was installed. The base (b) of one side of the triangular tree guard in terms of x is (2x² + 4x + 2)/(x - 1) units and its area (A) is x² + 5x + 4 square units
Step-by-step explanation:
1.
Given:
b = (2x² + 4x + 2)/(x - 1)
A = (x² + 5x + 4)
Required:
Height
Equation:
A = (1/2)bh
Solution:
Substitute the value of A and b
Multiply both sides by 2 and (x-1)
Divide both sides by 2x² + 4x + 2
Factor (2x² + 4x + 2) and (x² + 5x + 4) and simplify
Answers & Comments
Verified answer
Answer:
1. The height of the triangular tree guard is (x - 1)(x + 4)/(x + 1) units
2. To find the height of the triangular tree guard, I used the formula for the area of a triangle which is A = (1/2)bh, where A is area, b is base and h is height. Since the value of A and b are given, I substituted it in the formula to solve for the value of h.
Question:
Your school organized a tree planting activity participated by all learners and teachers in Grade 7 to 10. To protect the newly planted trees from the harsh environment, a triangular tree guard was installed. The base (b) of one side of the triangular tree guard in terms of x is (2x² + 4x + 2)/(x - 1) units and its area (A) is x² + 5x + 4 square units
Step-by-step explanation:
1.
Given:
b = (2x² + 4x + 2)/(x - 1)
A = (x² + 5x + 4)
Required:
Height
Equation:
A = (1/2)bh
Solution:
Substitute the value of A and b
Multiply both sides by 2 and (x-1)
Divide both sides by 2x² + 4x + 2
Factor (2x² + 4x + 2) and (x² + 5x + 4) and simplify
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