Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS i
s 9 in. and the length of side RM is 8 in. Show your work
1 answer:
The question is not complete. The complete question is;
Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in.
1) What is the area of triangle RST?
2)What is the ratio of area of triangle RST to area of triangle RMT?
3) What is the area of rectangle RSMN to area of triangle TSN?
Diagram is attached.
Answer:
1) 36 sq.in
2) 2:1
3) 4:1
Step-by-step explanation:
1) Area of triangle is; ½ × base × height.
For triangle RST, base = 9 in and height = 8 in
Thus, area of triangle RST = ½ × 9 × 8
= 36 sq.in
2)Area of triangle RMT = ½ × 8 × 9/2
= 18 sq.in
Ratio of area of RST to area of RMT = 36/18 = 2:1
3)Area of triangle TSN = ½ × 8 × 9/2 = 18 sq.in
Area of Rectangle RSNM = Length x width = 9 × 8 = 72 sq.in
Ratio of Area of Rectangle RSNM to Area of triangle TSN = 72/18 = 4:1
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let
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden
we know that
x>=110
2x+2y <=380---------------> x+y <= 190
Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190
Part B) <span>Graph the system to show all possible solutions
using a graph tool
see the attached figure
the solution is the triangle show in the figure
</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions
let
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden
we know that
x>=110
2x+2y <=380---------------> x+y <= 190
Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190
Part B) <span>Graph the system to show all possible solutions
using a graph tool
see the attached figure
the solution is the triangle show in the figure
</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft