Tanya has a garden with a trench around it. The garden is a rectangle with length 2 \dfrac12 \text{m}2
2
1
m2, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 2 \text{ m}2 m2, start text, space, m, end text. The trench and garden together make a rectangle with length 3 \dfrac12 \text{m}3
2
1
m3, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 3 \text{ m}3 m3, start text, space, m, end text.
Find the area of just the trench.
\text{m}^2m
2
start text, m, end text, squared
Answers
Answer:
Step-by-step explanation:
(i) Here, P(2) = k
⇒ 23 + 3(2)2 – k(2) + 4 = k
⇒ 8 + 12 – 2k + 4 = k
⇒ 3k = 24
⇒ k = 8
(ii) Here,
⇒ p(-3)3 + 9(- 3)2 + 4(- 3) – 10 = 5
⇒ - 27p + 81 – 12 – 10 = 5
⇒ - 27p = - 54
⇒ p = 2
Answer: the area of the trench is 11/2 m^2
Step-by-step explanation: let's draw the diagram of the trench.
area of the garden= lenght x width
= 2 and half ⋅ 2
= 5/2 ⋅ 2
=5m^2
area of the garden and trench = lenght ⋅ width
= 3 and half ⋅ 3
= 7/2 ⋅ 3
= 21/2 m^2
lets subtract the aea if the garden from the area of the garden and the trench to find the trench:
21/2 - 5
=21/2 -10/2
=11/2